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GCF of 637/77, 733/8495

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 637/77, 733/8495 i.e 1/654115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/77, 733/8495.

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 637/77,733/8495?

Given fractions are 637/77,733/8495

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 637/77,733/8495, numerators are 637,733

Denominators are 77,8495

The GCF of 637,733 is 1 .

LCM of 77,8495 is 654115.

The greatest common factor of 637/77,733/8495 = [GCF of 637,733]/[LCM of 77,8495]= 1/654115

Therefore, the GCF of 637/77,733/8495 is 1/654115.

Greatest Common Factor of 637,733

To find the highest common factor of 637,733, we have to find the factors of both numbers and list the highest common factor.

The factors of 637 are 1, 7, 13, 49, 91, 637

The factors of 733 are 1, 733

The HCF of 637,733 is 1.

Lets's calculate GCF of 637,733

Greatest Common Factor (GCF) of 637,733 By Common Division

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

Greatest Common Factor of 637,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,733 By Matching Biggest Common Factor Method

Now, list down the factors of 637

:

1,7,13,49,91,637

Now, list down the factors of 733

:

1,733

Greatest Common Factor

We found the factors 637,733 . The biggest common factor number is the GCF number.
So the greatest common factor 637,733 is 1.

Lets's calculate LCM of 77,8495

Lowest Common Multiple of 77,8495 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 654115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654115

Therefore, the GCF of Fractions 637/77,733/8495 is 1/654115

Least Common Multiple of 77,8495 with GCF Formula

Least Common Multiple of 77,8495 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 77,8495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,8495) = 1

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

GCF(77,8495) x common factors =1 x 1 = 1

LCM(77,8495) = ( 77 × 8495 ) / 1

LCM(77,8495) = 654115 / 1

LCM(77,8495) = 654115


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FAQs on GCF of Fractions of 637/77, 733/8495

1. What is the HCF of 637,733?

The HCF of 637,733 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 637/77, 733/8495?

Answer: GCF of Numerators as per given numbers 637/77, 733/8495 is

GCF of Numerators i.e. for 637,733 is 1

LCM of denominators i.e. for 77,8495 is 654115.

Thus, GCF of Fractions is 1/654115.Finally, GCF of Fractions for 637/77, 733/8495 is 1/654115.