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 1105/949, 6151/834

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 1105/949, 6151/834 i.e 1/791466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1105/949, 6151/834.

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 1105/949,6151/834?

Given fractions are 1105/949,6151/834

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 1105/949,6151/834, numerators are 1105,6151

Denominators are 949,834

The GCF of 1105,6151 is 1 .

LCM of 949,834 is 791466.

The greatest common factor of 1105/949,6151/834 = [GCF of 1105,6151]/[LCM of 949,834]= 1/791466

Therefore, the GCF of 1105/949,6151/834 is 1/791466.

Greatest Common Factor of 1105,6151

To find the highest common factor of 1105,6151, we have to find the factors of both numbers and list the highest common factor.

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The factors of 6151 are 1, 6151

The HCF of 1105,6151 is 1.

Lets's calculate GCF of 1105,6151

Greatest Common Factor (GCF) of 1105,6151 By Common Division

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

Greatest Common Factor of 1105,6151 By Matching Biggest Common Factor Method

Greatest Common Factor of 1105,6151 By Matching Biggest Common Factor Method

Now, list down the factors of 1105

:

1,5,13,17,65,85,221,1105

Now, list down the factors of 6151

:

1,6151

Greatest Common Factor

We found the factors 1105,6151 . The biggest common factor number is the GCF number.
So the greatest common factor 1105,6151 is 1.

Lets's calculate LCM of 949,834

Lowest Common Multiple of 949,834 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 791466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791466

Therefore, the GCF of Fractions 1105/949,6151/834 is 1/791466

Least Common Multiple of 949,834 with GCF Formula

Least Common Multiple of 949,834 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 949,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,834) = 1

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

GCF(949,834) x common factors =1 x 1 = 1

LCM(949,834) = ( 949 × 834 ) / 1

LCM(949,834) = 791466 / 1

LCM(949,834) = 791466


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1105/949, 6151/834

1. What is the HCF of 1105,6151?

The HCF of 1105,6151 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 1105/949, 6151/834?

Answer: GCF of Numerators as per given numbers 1105/949, 6151/834 is

GCF of Numerators i.e. for 1105,6151 is 1

LCM of denominators i.e. for 949,834 is 791466.

Thus, GCF of Fractions is 1/791466.Finally, GCF of Fractions for 1105/949, 6151/834 is 1/791466.