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GCF of 896/44, 565/1122

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 896/44, 565/1122 i.e 1/2244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/44, 565/1122.

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 896/44,565/1122?

Given fractions are 896/44,565/1122

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 896/44,565/1122, numerators are 896,565

Denominators are 44,1122

The GCF of 896,565 is 1 .

LCM of 44,1122 is 2244.

The greatest common factor of 896/44,565/1122 = [GCF of 896,565]/[LCM of 44,1122]= 1/2244

Therefore, the GCF of 896/44,565/1122 is 1/2244.

Greatest Common Factor of 896,565

To find the highest common factor of 896,565, we have to find the factors of both numbers and list the highest common factor.

The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

The factors of 565 are 1, 5, 113, 565

The HCF of 896,565 is 1.

Lets's calculate GCF of 896,565

Greatest Common Factor (GCF) of 896,565 By Common Division

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

Greatest Common Factor of 896,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,565 By Matching Biggest Common Factor Method

Now, list down the factors of 896

:

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Now, list down the factors of 565

:

1,5,113,565

Greatest Common Factor

We found the factors 896,565 . The biggest common factor number is the GCF number.
So the greatest common factor 896,565 is 1.

Lets's calculate LCM of 44,1122

Lowest Common Multiple of 44,1122 using Common Division

2 44, 1122
11 22, 561
2, 51

∴ So the LCM of the given numbers is 2 x 11 x 2 x 51 = 2244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2244

Therefore, the GCF of Fractions 896/44,565/1122 is 1/2244

Least Common Multiple of 44,1122 with GCF Formula

Least Common Multiple of 44,1122 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 44,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,1122) = 22

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

GCF(44,1122) x common factors =22 x 1 = 22

LCM(44,1122) = ( 44 × 1122 ) / 22

LCM(44,1122) = 49368 / 22

LCM(44,1122) = 2244


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FAQs on GCF of Fractions of 896/44, 565/1122

1. What is the HCF of 896,565?

The HCF of 896,565 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 896/44, 565/1122?

Answer: GCF of Numerators as per given numbers 896/44, 565/1122 is

GCF of Numerators i.e. for 896,565 is 1

LCM of denominators i.e. for 44,1122 is 2244.

Thus, GCF of Fractions is 1/2244.Finally, GCF of Fractions for 896/44, 565/1122 is 1/2244.