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GCF of 787/310, 642/390

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 787/310, 642/390 i.e 1/12090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 787/310, 642/390.

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 787/310,642/390?

Given fractions are 787/310,642/390

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 787/310,642/390, numerators are 787,642

Denominators are 310,390

The GCF of 787,642 is 1 .

LCM of 310,390 is 12090.

The greatest common factor of 787/310,642/390 = [GCF of 787,642]/[LCM of 310,390]= 1/12090

Therefore, the GCF of 787/310,642/390 is 1/12090.

Greatest Common Factor of 787,642

To find the highest common factor of 787,642, we have to find the factors of both numbers and list the highest common factor.

The factors of 787 are 1, 787

The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642

The HCF of 787,642 is 1.

Lets's calculate GCF of 787,642

Greatest Common Factor (GCF) of 787,642 By Common Division

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

Greatest Common Factor of 787,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,642 By Matching Biggest Common Factor Method

Now, list down the factors of 787

:

1,787

Now, list down the factors of 642

:

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 787,642 . The biggest common factor number is the GCF number.
So the greatest common factor 787,642 is 1.

Lets's calculate LCM of 310,390

Lowest Common Multiple of 310,390 using Common Division

2 310, 390
5 155, 195
31, 39

∴ So the LCM of the given numbers is 2 x 5 x 31 x 39 = 12090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12090

Therefore, the GCF of Fractions 787/310,642/390 is 1/12090

Least Common Multiple of 310,390 with GCF Formula

Least Common Multiple of 310,390 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 310,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,390) = 10

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

GCF(310,390) x common factors =10 x 1 = 10

LCM(310,390) = ( 310 × 390 ) / 10

LCM(310,390) = 120900 / 10

LCM(310,390) = 12090


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FAQs on GCF of Fractions of 787/310, 642/390

1. What is the HCF of 787,642?

The HCF of 787,642 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 787/310, 642/390?

Answer: GCF of Numerators as per given numbers 787/310, 642/390 is

GCF of Numerators i.e. for 787,642 is 1

LCM of denominators i.e. for 310,390 is 12090.

Thus, GCF of Fractions is 1/12090.Finally, GCF of Fractions for 787/310, 642/390 is 1/12090.