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GCF of 562/23, 716/7842

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 562/23, 716/7842 i.e 2/180366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 562/23, 716/7842.

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 562/23,716/7842?

Given fractions are 562/23,716/7842

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 562/23,716/7842, numerators are 562,716

Denominators are 23,7842

The GCF of 562,716 is 2 .

LCM of 23,7842 is 180366.

The greatest common factor of 562/23,716/7842 = [GCF of 562,716]/[LCM of 23,7842]= 2/180366

Therefore, the GCF of 562/23,716/7842 is 2/180366.

Greatest Common Factor of 562,716

To find the highest common factor of 562,716, we have to find the factors of both numbers and list the highest common factor.

The factors of 562 are 1, 2, 281, 562

The factors of 716 are 1, 2, 4, 179, 358, 716

The HCF of 562,716 is 2.

Lets's calculate GCF of 562,716

Greatest Common Factor (GCF) of 562,716 By Common Division

2 562, 716
281, 358

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 562,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,716 By Matching Biggest Common Factor Method

Now, list down the factors of 562

:

1,2,281,562

Now, list down the factors of 716

:

1,2,4,179,358,716

Greatest Common Factor

We found the factors 562,716 . The biggest common factor number is the GCF number.
So the greatest common factor 562,716 is 2.

Lets's calculate LCM of 23,7842

Lowest Common Multiple of 23,7842 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 180366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180366

Therefore, the GCF of Fractions 562/23,716/7842 is 2/180366

Least Common Multiple of 23,7842 with GCF Formula

Least Common Multiple of 23,7842 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 23,7842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,7842) = 1

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

GCF(23,7842) x common factors =1 x 1 = 1

LCM(23,7842) = ( 23 × 7842 ) / 1

LCM(23,7842) = 180366 / 1

LCM(23,7842) = 180366


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FAQs on GCF of Fractions of 562/23, 716/7842

1. What is the HCF of 562,716?

The HCF of 562,716 is 2

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 562/23, 716/7842?

Answer: GCF of Numerators as per given numbers 562/23, 716/7842 is

GCF of Numerators i.e. for 562,716 is 2

LCM of denominators i.e. for 23,7842 is 180366.

Thus, GCF of Fractions is 2/180366.Finally, GCF of Fractions for 562/23, 716/7842 is 2/180366.