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GCF of 448/76, 152/192

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 448/76, 152/192 i.e 8/3648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/76, 152/192.

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 448/76,152/192?

Given fractions are 448/76,152/192

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 448/76,152/192, numerators are 448,152

Denominators are 76,192

The GCF of 448,152 is 8 .

LCM of 76,192 is 3648.

The greatest common factor of 448/76,152/192 = [GCF of 448,152]/[LCM of 76,192]= 8/3648

Therefore, the GCF of 448/76,152/192 is 8/3648.

Greatest Common Factor of 448,152

To find the highest common factor of 448,152, 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 152 are 1, 2, 4, 8, 19, 38, 76, 152

The HCF of 448,152 is 8.

Lets's calculate GCF of 448,152

Greatest Common Factor (GCF) of 448,152 By Common Division

2 448, 152
2 224, 76
2 112, 38
56, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 448,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,152 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 152

:

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 448,152 . The biggest common factor number is the GCF number.
So the greatest common factor 448,152 is 8.

Lets's calculate LCM of 76,192

Lowest Common Multiple of 76,192 using Common Division

2 76, 192
2 38, 96
19, 48

∴ So the LCM of the given numbers is 2 x 2 x 19 x 48 = 3648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3648

Therefore, the GCF of Fractions 448/76,152/192 is 8/3648

Least Common Multiple of 76,192 with GCF Formula

Least Common Multiple of 76,192 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 76,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,192) = 4

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

GCF(76,192) x common factors =4 x 1 = 4

LCM(76,192) = ( 76 × 192 ) / 4

LCM(76,192) = 14592 / 4

LCM(76,192) = 3648


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FAQs on GCF of Fractions of 448/76, 152/192

1. What is the HCF of 448,152?

The HCF of 448,152 is 8

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 448/76, 152/192?

Answer: GCF of Numerators as per given numbers 448/76, 152/192 is

GCF of Numerators i.e. for 448,152 is 8

LCM of denominators i.e. for 76,192 is 3648.

Thus, GCF of Fractions is 8/3648.Finally, GCF of Fractions for 448/76, 152/192 is 8/3648.