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 760/34, 914/687

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 760/34, 914/687 i.e 2/23358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/34, 914/687.

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 760/34,914/687?

Given fractions are 760/34,914/687

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 760/34,914/687, numerators are 760,914

Denominators are 34,687

The GCF of 760,914 is 2 .

LCM of 34,687 is 23358.

The greatest common factor of 760/34,914/687 = [GCF of 760,914]/[LCM of 34,687]= 2/23358

Therefore, the GCF of 760/34,914/687 is 2/23358.

Greatest Common Factor of 760,914

To find the highest common factor of 760,914, we have to find the factors of both numbers and list the highest common factor.

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

The factors of 914 are 1, 2, 457, 914

The HCF of 760,914 is 2.

Lets's calculate GCF of 760,914

Greatest Common Factor (GCF) of 760,914 By Common Division

2 760, 914
380, 457

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 760,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,914 By Matching Biggest Common Factor Method

Now, list down the factors of 760

:

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Now, list down the factors of 914

:

1,2,457,914

Greatest Common Factor

We found the factors 760,914 . The biggest common factor number is the GCF number.
So the greatest common factor 760,914 is 2.

Lets's calculate LCM of 34,687

Lowest Common Multiple of 34,687 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23358

Therefore, the GCF of Fractions 760/34,914/687 is 2/23358

Least Common Multiple of 34,687 with GCF Formula

Least Common Multiple of 34,687 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 34,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,687) = 1

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

GCF(34,687) x common factors =1 x 1 = 1

LCM(34,687) = ( 34 × 687 ) / 1

LCM(34,687) = 23358 / 1

LCM(34,687) = 23358


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 760/34, 914/687

1. What is the HCF of 760,914?

The HCF of 760,914 is 2

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 760/34, 914/687?

Answer: GCF of Numerators as per given numbers 760/34, 914/687 is

GCF of Numerators i.e. for 760,914 is 2

LCM of denominators i.e. for 34,687 is 23358.

Thus, GCF of Fractions is 2/23358.Finally, GCF of Fractions for 760/34, 914/687 is 2/23358.