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GCF of 7759/179, 6778/9952

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 7759/179, 6778/9952 i.e 1/1781408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7759/179, 6778/9952.

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 7759/179,6778/9952?

Given fractions are 7759/179,6778/9952

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 7759/179,6778/9952, numerators are 7759,6778

Denominators are 179,9952

The GCF of 7759,6778 is 1 .

LCM of 179,9952 is 1781408.

The greatest common factor of 7759/179,6778/9952 = [GCF of 7759,6778]/[LCM of 179,9952]= 1/1781408

Therefore, the GCF of 7759/179,6778/9952 is 1/1781408.

Greatest Common Factor of 7759,6778

To find the highest common factor of 7759,6778, we have to find the factors of both numbers and list the highest common factor.

The factors of 7759 are 1, 7759

The factors of 6778 are 1, 2, 3389, 6778

The HCF of 7759,6778 is 1.

Lets's calculate GCF of 7759,6778

Greatest Common Factor (GCF) of 7759,6778 By Common Division

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

Greatest Common Factor of 7759,6778 By Matching Biggest Common Factor Method

Greatest Common Factor of 7759,6778 By Matching Biggest Common Factor Method

Now, list down the factors of 7759

:

1,7759

Now, list down the factors of 6778

:

1,2,3389,6778

Greatest Common Factor

We found the factors 7759,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 7759,6778 is 1.

Lets's calculate LCM of 179,9952

Lowest Common Multiple of 179,9952 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1781408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1781408

Therefore, the GCF of Fractions 7759/179,6778/9952 is 1/1781408

Least Common Multiple of 179,9952 with GCF Formula

Least Common Multiple of 179,9952 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 179,9952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,9952) = 1

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

GCF(179,9952) x common factors =1 x 1 = 1

LCM(179,9952) = ( 179 × 9952 ) / 1

LCM(179,9952) = 1781408 / 1

LCM(179,9952) = 1781408


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FAQs on GCF of Fractions of 7759/179, 6778/9952

1. What is the HCF of 7759,6778?

The HCF of 7759,6778 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 7759/179, 6778/9952?

Answer: GCF of Numerators as per given numbers 7759/179, 6778/9952 is

GCF of Numerators i.e. for 7759,6778 is 1

LCM of denominators i.e. for 179,9952 is 1781408.

Thus, GCF of Fractions is 1/1781408.Finally, GCF of Fractions for 7759/179, 6778/9952 is 1/1781408.