How to Find GCF of 793/632, 714/532?

GCF of 793/632, 714/532

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 793/632, 714/532 i.e 1/84056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/632, 714/532.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 793/632,714/532?

Given fractions are 793/632,714/532

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 793/632,714/532, numerators are 793,714

Denominators are 632,532

The GCF of 793,714 is 1 .

LCM of 632,532 is 84056.

The greatest common factor of 793/632,714/532 = [GCF of 793,714]/[LCM of 632,532]= 1/84056

Therefore, the GCF of 793/632,714/532 is 1/84056.

Greatest Common Factor of 793,714

To find the highest common factor of 793,714, we have to find the factors of both numbers and list the highest common factor.

The factors of 793 are 1, 13, 61, 793

The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

The HCF of 793,714 is 1.

Lets's calculate GCF of 793,714

Greatest Common Factor (GCF) of 793,714 By Common Division

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

Greatest Common Factor of 793,714 By Matching Biggest Common Factor Method

Now, list down the factors of 793

1,13,61,793

Now, list down the factors of 714

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 793,714 . The biggest common factor number is the GCF number.
So the greatest common factor 793,714 is 1.

Lets's calculate LCM of 632,532

Lowest Common Multiple of 632,532 using Common Division

2	632, 532
2	316, 266
	158, 133

∴ So the LCM of the given numbers is 2 x 2 x 158 x 133 = 84056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84056

Therefore, the GCF of Fractions 793/632,714/532 is 1/84056

Least Common Multiple of 632,532 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 632,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,532) = 4

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

GCF(632,532) x common factors =4 x 1 = 4

LCM(632,532) = ( 632 × 532 ) / 4

LCM(632,532) = 336224 / 4

LCM(632,532) = 84056

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FAQs on GCF of Fractions of 793/632, 714/532

1. What is the HCF of 793,714?

The HCF of 793,714 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 793/632, 714/532?

Answer: GCF of Numerators as per given numbers 793/632, 714/532 is

GCF of Numerators i.e. for 793,714 is 1

LCM of denominators i.e. for 632,532 is 84056.

Thus, GCF of Fractions is 1/84056.Finally, GCF of Fractions for 793/632, 714/532 is 1/84056.