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GCF of 448/90, 167/132

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 448/90, 167/132 i.e 1/1980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/90, 167/132.

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 448/90,167/132?

Given fractions are 448/90,167/132

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 448/90,167/132, numerators are 448,167

Denominators are 90,132

The GCF of 448,167 is 1 .

LCM of 90,132 is 1980.

The greatest common factor of 448/90,167/132 = [GCF of 448,167]/[LCM of 90,132]= 1/1980

Therefore, the GCF of 448/90,167/132 is 1/1980.

Greatest Common Factor of 448,167

To find the highest common factor of 448,167, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 167 are 1, 167

The HCF of 448,167 is 1.

Lets's calculate GCF of 448,167

Greatest Common Factor (GCF) of 448,167 By Common Division

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

Greatest Common Factor of 448,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,167 By Matching Biggest Common Factor Method

Now, list down the factors of 448

:

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

Now, list down the factors of 167

:

1,167

Greatest Common Factor

We found the factors 448,167 . The biggest common factor number is the GCF number.
So the greatest common factor 448,167 is 1.

Lets's calculate LCM of 90,132

Lowest Common Multiple of 90,132 using Common Division

2 90, 132
3 45, 66
15, 22

∴ So the LCM of the given numbers is 2 x 3 x 15 x 22 = 1980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1980

Therefore, the GCF of Fractions 448/90,167/132 is 1/1980

Least Common Multiple of 90,132 with GCF Formula

Least Common Multiple of 90,132 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 90,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,132) = 6

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

GCF(90,132) x common factors =6 x 1 = 6

LCM(90,132) = ( 90 × 132 ) / 6

LCM(90,132) = 11880 / 6

LCM(90,132) = 1980


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FAQs on GCF of Fractions of 448/90, 167/132

1. What is the HCF of 448,167?

The HCF of 448,167 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 448/90, 167/132?

Answer: GCF of Numerators as per given numbers 448/90, 167/132 is

GCF of Numerators i.e. for 448,167 is 1

LCM of denominators i.e. for 90,132 is 1980.

Thus, GCF of Fractions is 1/1980.Finally, GCF of Fractions for 448/90, 167/132 is 1/1980.