How to Find GCF of 448/232, 851/912?

GCF of 448/232, 851/912

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 448/232, 851/912 i.e 1/26448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/232, 851/912.

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 448/232,851/912?

Given fractions are 448/232,851/912

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 448/232,851/912, numerators are 448,851

Denominators are 232,912

The GCF of 448,851 is 1 .

LCM of 232,912 is 26448.

The greatest common factor of 448/232,851/912 = [GCF of 448,851]/[LCM of 232,912]= 1/26448

Therefore, the GCF of 448/232,851/912 is 1/26448.

Greatest Common Factor of 448,851

To find the highest common factor of 448,851, 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 851 are 1, 23, 37, 851

The HCF of 448,851 is 1.

Lets's calculate GCF of 448,851

Greatest Common Factor (GCF) of 448,851 By Common Division

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

Greatest Common Factor of 448,851 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 851

1,23,37,851

Greatest Common Factor

We found the factors 448,851 . The biggest common factor number is the GCF number.
So the greatest common factor 448,851 is 1.

Lets's calculate LCM of 232,912

Lowest Common Multiple of 232,912 using Common Division

2	232, 912
2	116, 456
2	58, 228
	29, 114

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 114 = 26448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26448

Therefore, the GCF of Fractions 448/232,851/912 is 1/26448

Least Common Multiple of 232,912 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 232,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,912) = 8

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

GCF(232,912) x common factors =8 x 1 = 8

LCM(232,912) = ( 232 × 912 ) / 8

LCM(232,912) = 211584 / 8

LCM(232,912) = 26448

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FAQs on GCF of Fractions of 448/232, 851/912

1. What is the HCF of 448,851?

The HCF of 448,851 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 448/232, 851/912?

Answer: GCF of Numerators as per given numbers 448/232, 851/912 is

GCF of Numerators i.e. for 448,851 is 1

LCM of denominators i.e. for 232,912 is 26448.

Thus, GCF of Fractions is 1/26448.Finally, GCF of Fractions for 448/232, 851/912 is 1/26448.