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GCF of 719/948, 309/712

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 719/948, 309/712 i.e 1/168744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/948, 309/712.

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 719/948,309/712?

Given fractions are 719/948,309/712

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 719/948,309/712, numerators are 719,309

Denominators are 948,712

The GCF of 719,309 is 1 .

LCM of 948,712 is 168744.

The greatest common factor of 719/948,309/712 = [GCF of 719,309]/[LCM of 948,712]= 1/168744

Therefore, the GCF of 719/948,309/712 is 1/168744.

Greatest Common Factor of 719,309

To find the highest common factor of 719,309, we have to find the factors of both numbers and list the highest common factor.

The factors of 719 are 1, 719

The factors of 309 are 1, 3, 103, 309

The HCF of 719,309 is 1.

Lets's calculate GCF of 719,309

Greatest Common Factor (GCF) of 719,309 By Common Division

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

Greatest Common Factor of 719,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,309 By Matching Biggest Common Factor Method

Now, list down the factors of 719

:

1,719

Now, list down the factors of 309

:

1,3,103,309

Greatest Common Factor

We found the factors 719,309 . The biggest common factor number is the GCF number.
So the greatest common factor 719,309 is 1.

Lets's calculate LCM of 948,712

Lowest Common Multiple of 948,712 using Common Division

2 948, 712
2 474, 356
237, 178

∴ So the LCM of the given numbers is 2 x 2 x 237 x 178 = 168744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168744

Therefore, the GCF of Fractions 719/948,309/712 is 1/168744

Least Common Multiple of 948,712 with GCF Formula

Least Common Multiple of 948,712 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 948,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,712) = 4

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

GCF(948,712) x common factors =4 x 1 = 4

LCM(948,712) = ( 948 × 712 ) / 4

LCM(948,712) = 674976 / 4

LCM(948,712) = 168744


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FAQs on GCF of Fractions of 719/948, 309/712

1. What is the HCF of 719,309?

The HCF of 719,309 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 719/948, 309/712?

Answer: GCF of Numerators as per given numbers 719/948, 309/712 is

GCF of Numerators i.e. for 719,309 is 1

LCM of denominators i.e. for 948,712 is 168744.

Thus, GCF of Fractions is 1/168744.Finally, GCF of Fractions for 719/948, 309/712 is 1/168744.