LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 1851/350, 8699/3120

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1851/350, 8699/3120 i.e 1/109200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1851/350, 8699/3120.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1851/350,8699/3120?

Given fractions are 1851/350,8699/3120

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1851/350,8699/3120, numerators are 1851,8699

Denominators are 350,3120

The GCF of 1851,8699 is 1 .

LCM of 350,3120 is 109200.

The greatest common factor of 1851/350,8699/3120 = [GCF of 1851,8699]/[LCM of 350,3120]= 1/109200

Therefore, the GCF of 1851/350,8699/3120 is 1/109200.

Greatest Common Factor of 1851,8699

To find the highest common factor of 1851,8699, we have to find the factors of both numbers and list the highest common factor.

The factors of 1851 are 1, 3, 617, 1851

The factors of 8699 are 1, 8699

The HCF of 1851,8699 is 1.

Lets's calculate GCF of 1851,8699

Greatest Common Factor (GCF) of 1851,8699 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1851,8699 By Matching Biggest Common Factor Method

Greatest Common Factor of 1851,8699 By Matching Biggest Common Factor Method

Now, list down the factors of 1851

:

1,3,617,1851

Now, list down the factors of 8699

:

1,8699

Greatest Common Factor

We found the factors 1851,8699 . The biggest common factor number is the GCF number.
So the greatest common factor 1851,8699 is 1.

Lets's calculate LCM of 350,3120

Lowest Common Multiple of 350,3120 using Common Division

2 350, 3120
5 175, 1560
35, 312

∴ So the LCM of the given numbers is 2 x 5 x 35 x 312 = 109200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109200

Therefore, the GCF of Fractions 1851/350,8699/3120 is 1/109200

Least Common Multiple of 350,3120 with GCF Formula

Least Common Multiple of 350,3120 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 350,3120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,3120) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(350,3120) x common factors =10 x 1 = 10

LCM(350,3120) = ( 350 × 3120 ) / 10

LCM(350,3120) = 1092000 / 10

LCM(350,3120) = 109200


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1851/350, 8699/3120

1. What is the HCF of 1851,8699?

The HCF of 1851,8699 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 1851/350, 8699/3120?

Answer: GCF of Numerators as per given numbers 1851/350, 8699/3120 is

GCF of Numerators i.e. for 1851,8699 is 1

LCM of denominators i.e. for 350,3120 is 109200.

Thus, GCF of Fractions is 1/109200.Finally, GCF of Fractions for 1851/350, 8699/3120 is 1/109200.