How to Find GCF of 6247/525, 9677/6737?

GCF of 6247/525, 9677/6737

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 6247/525, 9677/6737 i.e 1/3536925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6247/525, 9677/6737.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6247/525,9677/6737?

Given fractions are 6247/525,9677/6737

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 6247/525,9677/6737, numerators are 6247,9677

Denominators are 525,6737

The GCF of 6247,9677 is 1 .

LCM of 525,6737 is 3536925.

The greatest common factor of 6247/525,9677/6737 = [GCF of 6247,9677]/[LCM of 525,6737]= 1/3536925

Therefore, the GCF of 6247/525,9677/6737 is 1/3536925.

Greatest Common Factor of 6247,9677

To find the highest common factor of 6247,9677, we have to find the factors of both numbers and list the highest common factor.

The factors of 6247 are 1, 6247

The factors of 9677 are 1, 9677

The HCF of 6247,9677 is 1.

Lets's calculate GCF of 6247,9677

Greatest Common Factor (GCF) of 6247,9677 By Common Division

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

Greatest Common Factor of 6247,9677 By Matching Biggest Common Factor Method

Now, list down the factors of 6247

1,6247

Now, list down the factors of 9677

1,9677

Greatest Common Factor

We found the factors 6247,9677 . The biggest common factor number is the GCF number.
So the greatest common factor 6247,9677 is 1.

Lets's calculate LCM of 525,6737

Lowest Common Multiple of 525,6737 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3536925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3536925

Therefore, the GCF of Fractions 6247/525,9677/6737 is 1/3536925

Least Common Multiple of 525,6737 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 525,6737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,6737) = 1

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

GCF(525,6737) x common factors =1 x 1 = 1

LCM(525,6737) = ( 525 × 6737 ) / 1

LCM(525,6737) = 3536925 / 1

LCM(525,6737) = 3536925

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FAQs on GCF of Fractions of 6247/525, 9677/6737

1. What is the HCF of 6247,9677?

The HCF of 6247,9677 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 6247/525, 9677/6737?

Answer: GCF of Numerators as per given numbers 6247/525, 9677/6737 is

GCF of Numerators i.e. for 6247,9677 is 1

LCM of denominators i.e. for 525,6737 is 3536925.

Thus, GCF of Fractions is 1/3536925.Finally, GCF of Fractions for 6247/525, 9677/6737 is 1/3536925.