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GCF of 7663/639, 1913/1304

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 7663/639, 1913/1304 i.e 1/833256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7663/639, 1913/1304.

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 7663/639,1913/1304?

Given fractions are 7663/639,1913/1304

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 7663/639,1913/1304, numerators are 7663,1913

Denominators are 639,1304

The GCF of 7663,1913 is 1 .

LCM of 639,1304 is 833256.

The greatest common factor of 7663/639,1913/1304 = [GCF of 7663,1913]/[LCM of 639,1304]= 1/833256

Therefore, the GCF of 7663/639,1913/1304 is 1/833256.

Greatest Common Factor of 7663,1913

To find the highest common factor of 7663,1913, we have to find the factors of both numbers and list the highest common factor.

The factors of 7663 are 1, 79, 97, 7663

The factors of 1913 are 1, 1913

The HCF of 7663,1913 is 1.

Lets's calculate GCF of 7663,1913

Greatest Common Factor (GCF) of 7663,1913 By Common Division

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

Greatest Common Factor of 7663,1913 By Matching Biggest Common Factor Method

Greatest Common Factor of 7663,1913 By Matching Biggest Common Factor Method

Now, list down the factors of 7663

:

1,79,97,7663

Now, list down the factors of 1913

:

1,1913

Greatest Common Factor

We found the factors 7663,1913 . The biggest common factor number is the GCF number.
So the greatest common factor 7663,1913 is 1.

Lets's calculate LCM of 639,1304

Lowest Common Multiple of 639,1304 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 833256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/833256

Therefore, the GCF of Fractions 7663/639,1913/1304 is 1/833256

Least Common Multiple of 639,1304 with GCF Formula

Least Common Multiple of 639,1304 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 639,1304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,1304) = 1

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

GCF(639,1304) x common factors =1 x 1 = 1

LCM(639,1304) = ( 639 × 1304 ) / 1

LCM(639,1304) = 833256 / 1

LCM(639,1304) = 833256


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FAQs on GCF of Fractions of 7663/639, 1913/1304

1. What is the HCF of 7663,1913?

The HCF of 7663,1913 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 7663/639, 1913/1304?

Answer: GCF of Numerators as per given numbers 7663/639, 1913/1304 is

GCF of Numerators i.e. for 7663,1913 is 1

LCM of denominators i.e. for 639,1304 is 833256.

Thus, GCF of Fractions is 1/833256.Finally, GCF of Fractions for 7663/639, 1913/1304 is 1/833256.