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GCF of 695/20, 553/7904

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 695/20, 553/7904 i.e 1/39520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/20, 553/7904.

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 695/20,553/7904?

Given fractions are 695/20,553/7904

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 695/20,553/7904, numerators are 695,553

Denominators are 20,7904

The GCF of 695,553 is 1 .

LCM of 20,7904 is 39520.

The greatest common factor of 695/20,553/7904 = [GCF of 695,553]/[LCM of 20,7904]= 1/39520

Therefore, the GCF of 695/20,553/7904 is 1/39520.

Greatest Common Factor of 695,553

To find the highest common factor of 695,553, we have to find the factors of both numbers and list the highest common factor.

The factors of 695 are 1, 5, 139, 695

The factors of 553 are 1, 7, 79, 553

The HCF of 695,553 is 1.

Lets's calculate GCF of 695,553

Greatest Common Factor (GCF) of 695,553 By Common Division

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

Greatest Common Factor of 695,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,553 By Matching Biggest Common Factor Method

Now, list down the factors of 695

:

1,5,139,695

Now, list down the factors of 553

:

1,7,79,553

Greatest Common Factor

We found the factors 695,553 . The biggest common factor number is the GCF number.
So the greatest common factor 695,553 is 1.

Lets's calculate LCM of 20,7904

Lowest Common Multiple of 20,7904 using Common Division

2 20, 7904
2 10, 3952
5, 1976

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1976 = 39520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39520

Therefore, the GCF of Fractions 695/20,553/7904 is 1/39520

Least Common Multiple of 20,7904 with GCF Formula

Least Common Multiple of 20,7904 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 20,7904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,7904) = 4

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

GCF(20,7904) x common factors =4 x 1 = 4

LCM(20,7904) = ( 20 × 7904 ) / 4

LCM(20,7904) = 158080 / 4

LCM(20,7904) = 39520


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FAQs on GCF of Fractions of 695/20, 553/7904

1. What is the HCF of 695,553?

The HCF of 695,553 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 695/20, 553/7904?

Answer: GCF of Numerators as per given numbers 695/20, 553/7904 is

GCF of Numerators i.e. for 695,553 is 1

LCM of denominators i.e. for 20,7904 is 39520.

Thus, GCF of Fractions is 1/39520.Finally, GCF of Fractions for 695/20, 553/7904 is 1/39520.