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GCF of 7763/659, 1699/697

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 7763/659, 1699/697 i.e 1/459323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7763/659, 1699/697.

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 7763/659,1699/697?

Given fractions are 7763/659,1699/697

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 7763/659,1699/697, numerators are 7763,1699

Denominators are 659,697

The GCF of 7763,1699 is 1 .

LCM of 659,697 is 459323.

The greatest common factor of 7763/659,1699/697 = [GCF of 7763,1699]/[LCM of 659,697]= 1/459323

Therefore, the GCF of 7763/659,1699/697 is 1/459323.

Greatest Common Factor of 7763,1699

To find the highest common factor of 7763,1699, we have to find the factors of both numbers and list the highest common factor.

The factors of 7763 are 1, 7, 1109, 7763

The factors of 1699 are 1, 1699

The HCF of 7763,1699 is 1.

Lets's calculate GCF of 7763,1699

Greatest Common Factor (GCF) of 7763,1699 By Common Division

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

Greatest Common Factor of 7763,1699 By Matching Biggest Common Factor Method

Greatest Common Factor of 7763,1699 By Matching Biggest Common Factor Method

Now, list down the factors of 7763

:

1,7,1109,7763

Now, list down the factors of 1699

:

1,1699

Greatest Common Factor

We found the factors 7763,1699 . The biggest common factor number is the GCF number.
So the greatest common factor 7763,1699 is 1.

Lets's calculate LCM of 659,697

Lowest Common Multiple of 659,697 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 459323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459323

Therefore, the GCF of Fractions 7763/659,1699/697 is 1/459323

Least Common Multiple of 659,697 with GCF Formula

Least Common Multiple of 659,697 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 659,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,697) = 1

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

GCF(659,697) x common factors =1 x 1 = 1

LCM(659,697) = ( 659 × 697 ) / 1

LCM(659,697) = 459323 / 1

LCM(659,697) = 459323


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FAQs on GCF of Fractions of 7763/659, 1699/697

1. What is the HCF of 7763,1699?

The HCF of 7763,1699 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 7763/659, 1699/697?

Answer: GCF of Numerators as per given numbers 7763/659, 1699/697 is

GCF of Numerators i.e. for 7763,1699 is 1

LCM of denominators i.e. for 659,697 is 459323.

Thus, GCF of Fractions is 1/459323.Finally, GCF of Fractions for 7763/659, 1699/697 is 1/459323.