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GCF of 211/892, 153/176

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 211/892, 153/176 i.e 1/39248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/892, 153/176.

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 211/892,153/176?

Given fractions are 211/892,153/176

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 211/892,153/176, numerators are 211,153

Denominators are 892,176

The GCF of 211,153 is 1 .

LCM of 892,176 is 39248.

The greatest common factor of 211/892,153/176 = [GCF of 211,153]/[LCM of 892,176]= 1/39248

Therefore, the GCF of 211/892,153/176 is 1/39248.

Greatest Common Factor of 211,153

To find the highest common factor of 211,153, we have to find the factors of both numbers and list the highest common factor.

The factors of 211 are 1, 211

The factors of 153 are 1, 3, 9, 17, 51, 153

The HCF of 211,153 is 1.

Lets's calculate GCF of 211,153

Greatest Common Factor (GCF) of 211,153 By Common Division

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

Greatest Common Factor of 211,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,153 By Matching Biggest Common Factor Method

Now, list down the factors of 211

:

1,211

Now, list down the factors of 153

:

1,3,9,17,51,153

Greatest Common Factor

We found the factors 211,153 . The biggest common factor number is the GCF number.
So the greatest common factor 211,153 is 1.

Lets's calculate LCM of 892,176

Lowest Common Multiple of 892,176 using Common Division

2 892, 176
2 446, 88
223, 44

∴ So the LCM of the given numbers is 2 x 2 x 223 x 44 = 39248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39248

Therefore, the GCF of Fractions 211/892,153/176 is 1/39248

Least Common Multiple of 892,176 with GCF Formula

Least Common Multiple of 892,176 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 892,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,176) = 4

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

GCF(892,176) x common factors =4 x 1 = 4

LCM(892,176) = ( 892 × 176 ) / 4

LCM(892,176) = 156992 / 4

LCM(892,176) = 39248


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FAQs on GCF of Fractions of 211/892, 153/176

1. What is the HCF of 211,153?

The HCF of 211,153 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 211/892, 153/176?

Answer: GCF of Numerators as per given numbers 211/892, 153/176 is

GCF of Numerators i.e. for 211,153 is 1

LCM of denominators i.e. for 892,176 is 39248.

Thus, GCF of Fractions is 1/39248.Finally, GCF of Fractions for 211/892, 153/176 is 1/39248.