How to Find GCF of 896/44, 358/924?

GCF of 896/44, 358/924

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, 358/924 i.e 2/924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/44, 358/924.

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 896/44,358/924?

Given fractions are 896/44,358/924

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 896/44,358/924, numerators are 896,358

Denominators are 44,924

The GCF of 896,358 is 2 .

LCM of 44,924 is 924.

The greatest common factor of 896/44,358/924 = [GCF of 896,358]/[LCM of 44,924]= 2/924

Therefore, the GCF of 896/44,358/924 is 2/924.

Greatest Common Factor of 896,358

To find the highest common factor of 896,358, 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 358 are 1, 2, 179, 358

The HCF of 896,358 is 2.

Lets's calculate GCF of 896,358

Greatest Common Factor (GCF) of 896,358 By Common Division

2	896, 358
	448, 179

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

Greatest Common Factor of 896,358 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 358

1,2,179,358

Greatest Common Factor

We found the factors 896,358 . The biggest common factor number is the GCF number.
So the greatest common factor 896,358 is 2.

Lets's calculate LCM of 44,924

Lowest Common Multiple of 44,924 using Common Division

2	44, 924
2	22, 462
11	11, 231
	1, 21

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 21 = 924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/924

Therefore, the GCF of Fractions 896/44,358/924 is 2/924

Least Common Multiple of 44,924 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 44,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,924) = 44

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

GCF(44,924) x common factors =44 x 1 = 44

LCM(44,924) = ( 44 × 924 ) / 44

LCM(44,924) = 40656 / 44

LCM(44,924) = 924

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FAQs on GCF of Fractions of 896/44, 358/924

1. What is the HCF of 896,358?

The HCF of 896,358 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 896/44, 358/924?

Answer: GCF of Numerators as per given numbers 896/44, 358/924 is

GCF of Numerators i.e. for 896,358 is 2

LCM of denominators i.e. for 44,924 is 924.

Thus, GCF of Fractions is 2/924.Finally, GCF of Fractions for 896/44, 358/924 is 2/924.