How to Find GCF of 517/624, 672/736?

GCF of 517/624, 672/736

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 517/624, 672/736 i.e 1/28704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 517/624, 672/736.

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 517/624,672/736?

Given fractions are 517/624,672/736

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 517/624,672/736, numerators are 517,672

Denominators are 624,736

The GCF of 517,672 is 1 .

LCM of 624,736 is 28704.

The greatest common factor of 517/624,672/736 = [GCF of 517,672]/[LCM of 624,736]= 1/28704

Therefore, the GCF of 517/624,672/736 is 1/28704.

Greatest Common Factor of 517,672

To find the highest common factor of 517,672, we have to find the factors of both numbers and list the highest common factor.

The factors of 517 are 1, 11, 47, 517

The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

The HCF of 517,672 is 1.

Lets's calculate GCF of 517,672

Greatest Common Factor (GCF) of 517,672 By Common Division

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

Greatest Common Factor of 517,672 By Matching Biggest Common Factor Method

Now, list down the factors of 517

1,11,47,517

Now, list down the factors of 672

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 517,672 . The biggest common factor number is the GCF number.
So the greatest common factor 517,672 is 1.

Lets's calculate LCM of 624,736

Lowest Common Multiple of 624,736 using Common Division

2	624, 736
2	312, 368
2	156, 184
2	78, 92
	39, 46

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 39 x 46 = 28704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28704

Therefore, the GCF of Fractions 517/624,672/736 is 1/28704

Least Common Multiple of 624,736 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 624,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,736) = 16

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

GCF(624,736) x common factors =16 x 1 = 16

LCM(624,736) = ( 624 × 736 ) / 16

LCM(624,736) = 459264 / 16

LCM(624,736) = 28704

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FAQs on GCF of Fractions of 517/624, 672/736

1. What is the HCF of 517,672?

The HCF of 517,672 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 517/624, 672/736?

Answer: GCF of Numerators as per given numbers 517/624, 672/736 is

GCF of Numerators i.e. for 517,672 is 1

LCM of denominators i.e. for 624,736 is 28704.

Thus, GCF of Fractions is 1/28704.Finally, GCF of Fractions for 517/624, 672/736 is 1/28704.