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GCF of 719/632, 677/498

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 719/632, 677/498 i.e 1/157368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/632, 677/498.

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 719/632,677/498?

Given fractions are 719/632,677/498

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 719/632,677/498, numerators are 719,677

Denominators are 632,498

The GCF of 719,677 is 1 .

LCM of 632,498 is 157368.

The greatest common factor of 719/632,677/498 = [GCF of 719,677]/[LCM of 632,498]= 1/157368

Therefore, the GCF of 719/632,677/498 is 1/157368.

Greatest Common Factor of 719,677

To find the highest common factor of 719,677, 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 677 are 1, 677

The HCF of 719,677 is 1.

Lets's calculate GCF of 719,677

Greatest Common Factor (GCF) of 719,677 By Common Division

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

Greatest Common Factor of 719,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,677 By Matching Biggest Common Factor Method

Now, list down the factors of 719

:

1,719

Now, list down the factors of 677

:

1,677

Greatest Common Factor

We found the factors 719,677 . The biggest common factor number is the GCF number.
So the greatest common factor 719,677 is 1.

Lets's calculate LCM of 632,498

Lowest Common Multiple of 632,498 using Common Division

2 632, 498
316, 249

∴ So the LCM of the given numbers is 2 x 316 x 249 = 157368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157368

Therefore, the GCF of Fractions 719/632,677/498 is 1/157368

Least Common Multiple of 632,498 with GCF Formula

Least Common Multiple of 632,498 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 632,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,498) = 2

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

GCF(632,498) x common factors =2 x 1 = 2

LCM(632,498) = ( 632 × 498 ) / 2

LCM(632,498) = 314736 / 2

LCM(632,498) = 157368


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FAQs on GCF of Fractions of 719/632, 677/498

1. What is the HCF of 719,677?

The HCF of 719,677 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 719/632, 677/498?

Answer: GCF of Numerators as per given numbers 719/632, 677/498 is

GCF of Numerators i.e. for 719,677 is 1

LCM of denominators i.e. for 632,498 is 157368.

Thus, GCF of Fractions is 1/157368.Finally, GCF of Fractions for 719/632, 677/498 is 1/157368.