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GCF of 537/262, 6502/672

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 537/262, 6502/672 i.e 1/88032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/262, 6502/672.

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 537/262,6502/672?

Given fractions are 537/262,6502/672

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 537/262,6502/672, numerators are 537,6502

Denominators are 262,672

The GCF of 537,6502 is 1 .

LCM of 262,672 is 88032.

The greatest common factor of 537/262,6502/672 = [GCF of 537,6502]/[LCM of 262,672]= 1/88032

Therefore, the GCF of 537/262,6502/672 is 1/88032.

Greatest Common Factor of 537,6502

To find the highest common factor of 537,6502, we have to find the factors of both numbers and list the highest common factor.

The factors of 537 are 1, 3, 179, 537

The factors of 6502 are 1, 2, 3251, 6502

The HCF of 537,6502 is 1.

Lets's calculate GCF of 537,6502

Greatest Common Factor (GCF) of 537,6502 By Common Division

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

Greatest Common Factor of 537,6502 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,6502 By Matching Biggest Common Factor Method

Now, list down the factors of 537

:

1,3,179,537

Now, list down the factors of 6502

:

1,2,3251,6502

Greatest Common Factor

We found the factors 537,6502 . The biggest common factor number is the GCF number.
So the greatest common factor 537,6502 is 1.

Lets's calculate LCM of 262,672

Lowest Common Multiple of 262,672 using Common Division

2 262, 672
131, 336

∴ So the LCM of the given numbers is 2 x 131 x 336 = 88032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88032

Therefore, the GCF of Fractions 537/262,6502/672 is 1/88032

Least Common Multiple of 262,672 with GCF Formula

Least Common Multiple of 262,672 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 262,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,672) = 2

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

GCF(262,672) x common factors =2 x 1 = 2

LCM(262,672) = ( 262 × 672 ) / 2

LCM(262,672) = 176064 / 2

LCM(262,672) = 88032


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FAQs on GCF of Fractions of 537/262, 6502/672

1. What is the HCF of 537,6502?

The HCF of 537,6502 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 537/262, 6502/672?

Answer: GCF of Numerators as per given numbers 537/262, 6502/672 is

GCF of Numerators i.e. for 537,6502 is 1

LCM of denominators i.e. for 262,672 is 88032.

Thus, GCF of Fractions is 1/88032.Finally, GCF of Fractions for 537/262, 6502/672 is 1/88032.