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GCF of 695/256, 205/773

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 695/256, 205/773 i.e 5/197888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/256, 205/773.

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 695/256,205/773?

Given fractions are 695/256,205/773

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 695/256,205/773, numerators are 695,205

Denominators are 256,773

The GCF of 695,205 is 5 .

LCM of 256,773 is 197888.

The greatest common factor of 695/256,205/773 = [GCF of 695,205]/[LCM of 256,773]= 5/197888

Therefore, the GCF of 695/256,205/773 is 5/197888.

Greatest Common Factor of 695,205

To find the highest common factor of 695,205, 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 205 are 1, 5, 41, 205

The HCF of 695,205 is 5.

Lets's calculate GCF of 695,205

Greatest Common Factor (GCF) of 695,205 By Common Division

5 695, 205
139, 41

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 695,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,205 By Matching Biggest Common Factor Method

Now, list down the factors of 695

:

1,5,139,695

Now, list down the factors of 205

:

1,5,41,205

Greatest Common Factor

We found the factors 695,205 . The biggest common factor number is the GCF number.
So the greatest common factor 695,205 is 5.

Lets's calculate LCM of 256,773

Lowest Common Multiple of 256,773 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 197888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/197888

Therefore, the GCF of Fractions 695/256,205/773 is 5/197888

Least Common Multiple of 256,773 with GCF Formula

Least Common Multiple of 256,773 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 256,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,773) = 1

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

GCF(256,773) x common factors =1 x 1 = 1

LCM(256,773) = ( 256 × 773 ) / 1

LCM(256,773) = 197888 / 1

LCM(256,773) = 197888


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FAQs on GCF of Fractions of 695/256, 205/773

1. What is the HCF of 695,205?

The HCF of 695,205 is 5

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 695/256, 205/773?

Answer: GCF of Numerators as per given numbers 695/256, 205/773 is

GCF of Numerators i.e. for 695,205 is 5

LCM of denominators i.e. for 256,773 is 197888.

Thus, GCF of Fractions is 5/197888.Finally, GCF of Fractions for 695/256, 205/773 is 5/197888.