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GCF of 730/790, 977/940

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 730/790, 977/940 i.e 1/74260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 730/790, 977/940.

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 730/790,977/940?

Given fractions are 730/790,977/940

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 730/790,977/940, numerators are 730,977

Denominators are 790,940

The GCF of 730,977 is 1 .

LCM of 790,940 is 74260.

The greatest common factor of 730/790,977/940 = [GCF of 730,977]/[LCM of 790,940]= 1/74260

Therefore, the GCF of 730/790,977/940 is 1/74260.

Greatest Common Factor of 730,977

To find the highest common factor of 730,977, we have to find the factors of both numbers and list the highest common factor.

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730

The factors of 977 are 1, 977

The HCF of 730,977 is 1.

Lets's calculate GCF of 730,977

Greatest Common Factor (GCF) of 730,977 By Common Division

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

Greatest Common Factor of 730,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,977 By Matching Biggest Common Factor Method

Now, list down the factors of 730

:

1,2,5,10,73,146,365,730

Now, list down the factors of 977

:

1,977

Greatest Common Factor

We found the factors 730,977 . The biggest common factor number is the GCF number.
So the greatest common factor 730,977 is 1.

Lets's calculate LCM of 790,940

Lowest Common Multiple of 790,940 using Common Division

2 790, 940
5 395, 470
79, 94

∴ So the LCM of the given numbers is 2 x 5 x 79 x 94 = 74260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74260

Therefore, the GCF of Fractions 730/790,977/940 is 1/74260

Least Common Multiple of 790,940 with GCF Formula

Least Common Multiple of 790,940 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 790,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,940) = 10

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

GCF(790,940) x common factors =10 x 1 = 10

LCM(790,940) = ( 790 × 940 ) / 10

LCM(790,940) = 742600 / 10

LCM(790,940) = 74260


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FAQs on GCF of Fractions of 730/790, 977/940

1. What is the HCF of 730,977?

The HCF of 730,977 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 730/790, 977/940?

Answer: GCF of Numerators as per given numbers 730/790, 977/940 is

GCF of Numerators i.e. for 730,977 is 1

LCM of denominators i.e. for 790,940 is 74260.

Thus, GCF of Fractions is 1/74260.Finally, GCF of Fractions for 730/790, 977/940 is 1/74260.