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GCF of 294/650, 719/842

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 294/650, 719/842 i.e 1/273650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/650, 719/842.

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 294/650,719/842?

Given fractions are 294/650,719/842

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 294/650,719/842, numerators are 294,719

Denominators are 650,842

The GCF of 294,719 is 1 .

LCM of 650,842 is 273650.

The greatest common factor of 294/650,719/842 = [GCF of 294,719]/[LCM of 650,842]= 1/273650

Therefore, the GCF of 294/650,719/842 is 1/273650.

Greatest Common Factor of 294,719

To find the highest common factor of 294,719, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 719 are 1, 719

The HCF of 294,719 is 1.

Lets's calculate GCF of 294,719

Greatest Common Factor (GCF) of 294,719 By Common Division

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

Greatest Common Factor of 294,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,719 By Matching Biggest Common Factor Method

Now, list down the factors of 294

:

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 719

:

1,719

Greatest Common Factor

We found the factors 294,719 . The biggest common factor number is the GCF number.
So the greatest common factor 294,719 is 1.

Lets's calculate LCM of 650,842

Lowest Common Multiple of 650,842 using Common Division

2 650, 842
325, 421

∴ So the LCM of the given numbers is 2 x 325 x 421 = 273650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273650

Therefore, the GCF of Fractions 294/650,719/842 is 1/273650

Least Common Multiple of 650,842 with GCF Formula

Least Common Multiple of 650,842 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 650,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,842) = 2

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

GCF(650,842) x common factors =2 x 1 = 2

LCM(650,842) = ( 650 × 842 ) / 2

LCM(650,842) = 547300 / 2

LCM(650,842) = 273650


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FAQs on GCF of Fractions of 294/650, 719/842

1. What is the HCF of 294,719?

The HCF of 294,719 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 294/650, 719/842?

Answer: GCF of Numerators as per given numbers 294/650, 719/842 is

GCF of Numerators i.e. for 294,719 is 1

LCM of denominators i.e. for 650,842 is 273650.

Thus, GCF of Fractions is 1/273650.Finally, GCF of Fractions for 294/650, 719/842 is 1/273650.