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GCF of 762/389, 615/590

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 762/389, 615/590 i.e 3/229510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 762/389, 615/590.

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 762/389,615/590?

Given fractions are 762/389,615/590

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 762/389,615/590, numerators are 762,615

Denominators are 389,590

The GCF of 762,615 is 3 .

LCM of 389,590 is 229510.

The greatest common factor of 762/389,615/590 = [GCF of 762,615]/[LCM of 389,590]= 3/229510

Therefore, the GCF of 762/389,615/590 is 3/229510.

Greatest Common Factor of 762,615

To find the highest common factor of 762,615, we have to find the factors of both numbers and list the highest common factor.

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615

The HCF of 762,615 is 3.

Lets's calculate GCF of 762,615

Greatest Common Factor (GCF) of 762,615 By Common Division

3 762, 615
254, 205

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 762,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,615 By Matching Biggest Common Factor Method

Now, list down the factors of 762

:

1,2,3,6,127,254,381,762

Now, list down the factors of 615

:

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 762,615 . The biggest common factor number is the GCF number.
So the greatest common factor 762,615 is 3.

Lets's calculate LCM of 389,590

Lowest Common Multiple of 389,590 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 229510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/229510

Therefore, the GCF of Fractions 762/389,615/590 is 3/229510

Least Common Multiple of 389,590 with GCF Formula

Least Common Multiple of 389,590 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 389,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,590) = 1

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

GCF(389,590) x common factors =1 x 1 = 1

LCM(389,590) = ( 389 × 590 ) / 1

LCM(389,590) = 229510 / 1

LCM(389,590) = 229510


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FAQs on GCF of Fractions of 762/389, 615/590

1. What is the HCF of 762,615?

The HCF of 762,615 is 3

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 762/389, 615/590?

Answer: GCF of Numerators as per given numbers 762/389, 615/590 is

GCF of Numerators i.e. for 762,615 is 3

LCM of denominators i.e. for 389,590 is 229510.

Thus, GCF of Fractions is 3/229510.Finally, GCF of Fractions for 762/389, 615/590 is 3/229510.