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GCF of 6471/625, 5927/5545

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 6471/625, 5927/5545 i.e 1/693125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6471/625, 5927/5545.

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 6471/625,5927/5545?

Given fractions are 6471/625,5927/5545

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 6471/625,5927/5545, numerators are 6471,5927

Denominators are 625,5545

The GCF of 6471,5927 is 1 .

LCM of 625,5545 is 693125.

The greatest common factor of 6471/625,5927/5545 = [GCF of 6471,5927]/[LCM of 625,5545]= 1/693125

Therefore, the GCF of 6471/625,5927/5545 is 1/693125.

Greatest Common Factor of 6471,5927

To find the highest common factor of 6471,5927, we have to find the factors of both numbers and list the highest common factor.

The factors of 6471 are 1, 3, 9, 719, 2157, 6471

The factors of 5927 are 1, 5927

The HCF of 6471,5927 is 1.

Lets's calculate GCF of 6471,5927

Greatest Common Factor (GCF) of 6471,5927 By Common Division

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

Greatest Common Factor of 6471,5927 By Matching Biggest Common Factor Method

Greatest Common Factor of 6471,5927 By Matching Biggest Common Factor Method

Now, list down the factors of 6471

:

1,3,9,719,2157,6471

Now, list down the factors of 5927

:

1,5927

Greatest Common Factor

We found the factors 6471,5927 . The biggest common factor number is the GCF number.
So the greatest common factor 6471,5927 is 1.

Lets's calculate LCM of 625,5545

Lowest Common Multiple of 625,5545 using Common Division

5 625, 5545
125, 1109

∴ So the LCM of the given numbers is 5 x 125 x 1109 = 693125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693125

Therefore, the GCF of Fractions 6471/625,5927/5545 is 1/693125

Least Common Multiple of 625,5545 with GCF Formula

Least Common Multiple of 625,5545 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 625,5545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,5545) = 5

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

GCF(625,5545) x common factors =5 x 1 = 5

LCM(625,5545) = ( 625 × 5545 ) / 5

LCM(625,5545) = 3465625 / 5

LCM(625,5545) = 693125


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6471/625, 5927/5545

1. What is the HCF of 6471,5927?

The HCF of 6471,5927 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 6471/625, 5927/5545?

Answer: GCF of Numerators as per given numbers 6471/625, 5927/5545 is

GCF of Numerators i.e. for 6471,5927 is 1

LCM of denominators i.e. for 625,5545 is 693125.

Thus, GCF of Fractions is 1/693125.Finally, GCF of Fractions for 6471/625, 5927/5545 is 1/693125.