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GCF of 9565/621, 7687/692

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 9565/621, 7687/692 i.e 1/429732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9565/621, 7687/692.

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 9565/621,7687/692?

Given fractions are 9565/621,7687/692

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 9565/621,7687/692, numerators are 9565,7687

Denominators are 621,692

The GCF of 9565,7687 is 1 .

LCM of 621,692 is 429732.

The greatest common factor of 9565/621,7687/692 = [GCF of 9565,7687]/[LCM of 621,692]= 1/429732

Therefore, the GCF of 9565/621,7687/692 is 1/429732.

Greatest Common Factor of 9565,7687

To find the highest common factor of 9565,7687, we have to find the factors of both numbers and list the highest common factor.

The factors of 9565 are 1, 5, 1913, 9565

The factors of 7687 are 1, 7687

The HCF of 9565,7687 is 1.

Lets's calculate GCF of 9565,7687

Greatest Common Factor (GCF) of 9565,7687 By Common Division

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

Greatest Common Factor of 9565,7687 By Matching Biggest Common Factor Method

Greatest Common Factor of 9565,7687 By Matching Biggest Common Factor Method

Now, list down the factors of 9565

:

1,5,1913,9565

Now, list down the factors of 7687

:

1,7687

Greatest Common Factor

We found the factors 9565,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 9565,7687 is 1.

Lets's calculate LCM of 621,692

Lowest Common Multiple of 621,692 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 429732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429732

Therefore, the GCF of Fractions 9565/621,7687/692 is 1/429732

Least Common Multiple of 621,692 with GCF Formula

Least Common Multiple of 621,692 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 621,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,692) = 1

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

GCF(621,692) x common factors =1 x 1 = 1

LCM(621,692) = ( 621 × 692 ) / 1

LCM(621,692) = 429732 / 1

LCM(621,692) = 429732


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FAQs on GCF of Fractions of 9565/621, 7687/692

1. What is the HCF of 9565,7687?

The HCF of 9565,7687 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 9565/621, 7687/692?

Answer: GCF of Numerators as per given numbers 9565/621, 7687/692 is

GCF of Numerators i.e. for 9565,7687 is 1

LCM of denominators i.e. for 621,692 is 429732.

Thus, GCF of Fractions is 1/429732.Finally, GCF of Fractions for 9565/621, 7687/692 is 1/429732.