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GCF of 874/896, 219/108

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 874/896, 219/108 i.e 1/24192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/896, 219/108.

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 874/896,219/108?

Given fractions are 874/896,219/108

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 874/896,219/108, numerators are 874,219

Denominators are 896,108

The GCF of 874,219 is 1 .

LCM of 896,108 is 24192.

The greatest common factor of 874/896,219/108 = [GCF of 874,219]/[LCM of 896,108]= 1/24192

Therefore, the GCF of 874/896,219/108 is 1/24192.

Greatest Common Factor of 874,219

To find the highest common factor of 874,219, we have to find the factors of both numbers and list the highest common factor.

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The factors of 219 are 1, 3, 73, 219

The HCF of 874,219 is 1.

Lets's calculate GCF of 874,219

Greatest Common Factor (GCF) of 874,219 By Common Division

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

Greatest Common Factor of 874,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,219 By Matching Biggest Common Factor Method

Now, list down the factors of 874

:

1,2,19,23,38,46,437,874

Now, list down the factors of 219

:

1,3,73,219

Greatest Common Factor

We found the factors 874,219 . The biggest common factor number is the GCF number.
So the greatest common factor 874,219 is 1.

Lets's calculate LCM of 896,108

Lowest Common Multiple of 896,108 using Common Division

2 896, 108
2 448, 54
224, 27

∴ So the LCM of the given numbers is 2 x 2 x 224 x 27 = 24192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24192

Therefore, the GCF of Fractions 874/896,219/108 is 1/24192

Least Common Multiple of 896,108 with GCF Formula

Least Common Multiple of 896,108 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 896,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,108) = 4

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

GCF(896,108) x common factors =4 x 1 = 4

LCM(896,108) = ( 896 × 108 ) / 4

LCM(896,108) = 96768 / 4

LCM(896,108) = 24192


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FAQs on GCF of Fractions of 874/896, 219/108

1. What is the HCF of 874,219?

The HCF of 874,219 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 874/896, 219/108?

Answer: GCF of Numerators as per given numbers 874/896, 219/108 is

GCF of Numerators i.e. for 874,219 is 1

LCM of denominators i.e. for 896,108 is 24192.

Thus, GCF of Fractions is 1/24192.Finally, GCF of Fractions for 874/896, 219/108 is 1/24192.