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GCF of 776/37, 485/945

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 776/37, 485/945 i.e 97/34965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/37, 485/945.

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 776/37,485/945?

Given fractions are 776/37,485/945

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 776/37,485/945, numerators are 776,485

Denominators are 37,945

The GCF of 776,485 is 97 .

LCM of 37,945 is 34965.

The greatest common factor of 776/37,485/945 = [GCF of 776,485]/[LCM of 37,945]= 97/34965

Therefore, the GCF of 776/37,485/945 is 97/34965.

Greatest Common Factor of 776,485

To find the highest common factor of 776,485, we have to find the factors of both numbers and list the highest common factor.

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776

The factors of 485 are 1, 5, 97, 485

The HCF of 776,485 is 97.

Lets's calculate GCF of 776,485

Greatest Common Factor (GCF) of 776,485 By Common Division

97 776, 485
8, 5

∴ So the GCF of the given numbers is 97 = 97

Greatest Common Factor of 776,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,485 By Matching Biggest Common Factor Method

Now, list down the factors of 776

:

1,2,4,8,97,194,388,776

Now, list down the factors of 485

:

1,5,97,485

Greatest Common Factor

We found the factors 776,485 . The biggest common factor number is the GCF number.
So the greatest common factor 776,485 is 97.

Lets's calculate LCM of 37,945

Lowest Common Multiple of 37,945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/34965

Therefore, the GCF of Fractions 776/37,485/945 is 97/34965

Least Common Multiple of 37,945 with GCF Formula

Least Common Multiple of 37,945 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 37,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,945) = 1

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

GCF(37,945) x common factors =1 x 1 = 1

LCM(37,945) = ( 37 × 945 ) / 1

LCM(37,945) = 34965 / 1

LCM(37,945) = 34965


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FAQs on GCF of Fractions of 776/37, 485/945

1. What is the HCF of 776,485?

The HCF of 776,485 is 97

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 776/37, 485/945?

Answer: GCF of Numerators as per given numbers 776/37, 485/945 is

GCF of Numerators i.e. for 776,485 is 97

LCM of denominators i.e. for 37,945 is 34965.

Thus, GCF of Fractions is 97/34965.Finally, GCF of Fractions for 776/37, 485/945 is 97/34965.