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GCF of 762/540, 3439/792

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 762/540, 3439/792 i.e 1/11880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 762/540, 3439/792.

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 762/540,3439/792?

Given fractions are 762/540,3439/792

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 762/540,3439/792, numerators are 762,3439

Denominators are 540,792

The GCF of 762,3439 is 1 .

LCM of 540,792 is 11880.

The greatest common factor of 762/540,3439/792 = [GCF of 762,3439]/[LCM of 540,792]= 1/11880

Therefore, the GCF of 762/540,3439/792 is 1/11880.

Greatest Common Factor of 762,3439

To find the highest common factor of 762,3439, we have to find the factors of both numbers and list the highest common factor.

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The factors of 3439 are 1, 19, 181, 3439

The HCF of 762,3439 is 1.

Lets's calculate GCF of 762,3439

Greatest Common Factor (GCF) of 762,3439 By Common Division

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

Greatest Common Factor of 762,3439 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,3439 By Matching Biggest Common Factor Method

Now, list down the factors of 762

:

1,2,3,6,127,254,381,762

Now, list down the factors of 3439

:

1,19,181,3439

Greatest Common Factor

We found the factors 762,3439 . The biggest common factor number is the GCF number.
So the greatest common factor 762,3439 is 1.

Lets's calculate LCM of 540,792

Lowest Common Multiple of 540,792 using Common Division

2 540, 792
2 270, 396
3 135, 198
3 45, 66
15, 22

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 15 x 22 = 11880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11880

Therefore, the GCF of Fractions 762/540,3439/792 is 1/11880

Least Common Multiple of 540,792 with GCF Formula

Least Common Multiple of 540,792 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 540,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,792) = 36

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

GCF(540,792) x common factors =36 x 1 = 36

LCM(540,792) = ( 540 × 792 ) / 36

LCM(540,792) = 427680 / 36

LCM(540,792) = 11880


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FAQs on GCF of Fractions of 762/540, 3439/792

1. What is the HCF of 762,3439?

The HCF of 762,3439 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 762/540, 3439/792?

Answer: GCF of Numerators as per given numbers 762/540, 3439/792 is

GCF of Numerators i.e. for 762,3439 is 1

LCM of denominators i.e. for 540,792 is 11880.

Thus, GCF of Fractions is 1/11880.Finally, GCF of Fractions for 762/540, 3439/792 is 1/11880.