How to Find GCF of 848/912, 182/520?

GCF of 848/912, 182/520

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 848/912, 182/520 i.e 2/59280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/912, 182/520.

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 848/912,182/520?

Given fractions are 848/912,182/520

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 848/912,182/520, numerators are 848,182

Denominators are 912,520

The GCF of 848,182 is 2 .

LCM of 912,520 is 59280.

The greatest common factor of 848/912,182/520 = [GCF of 848,182]/[LCM of 912,520]= 2/59280

Therefore, the GCF of 848/912,182/520 is 2/59280.

Greatest Common Factor of 848,182

To find the highest common factor of 848,182, we have to find the factors of both numbers and list the highest common factor.

The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

The HCF of 848,182 is 2.

Lets's calculate GCF of 848,182

Greatest Common Factor (GCF) of 848,182 By Common Division

2	848, 182
	424, 91

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

Greatest Common Factor of 848,182 By Matching Biggest Common Factor Method

Now, list down the factors of 848

1,2,4,8,16,53,106,212,424,848

Now, list down the factors of 182

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 848,182 . The biggest common factor number is the GCF number.
So the greatest common factor 848,182 is 2.

Lets's calculate LCM of 912,520

Lowest Common Multiple of 912,520 using Common Division

2	912, 520
2	456, 260
2	228, 130
	114, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 114 x 65 = 59280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59280

Therefore, the GCF of Fractions 848/912,182/520 is 2/59280

Least Common Multiple of 912,520 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 912,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,520) = 8

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

GCF(912,520) x common factors =8 x 1 = 8

LCM(912,520) = ( 912 × 520 ) / 8

LCM(912,520) = 474240 / 8

LCM(912,520) = 59280

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FAQs on GCF of Fractions of 848/912, 182/520

1. What is the HCF of 848,182?

The HCF of 848,182 is 2

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 848/912, 182/520?

Answer: GCF of Numerators as per given numbers 848/912, 182/520 is

GCF of Numerators i.e. for 848,182 is 2

LCM of denominators i.e. for 912,520 is 59280.

Thus, GCF of Fractions is 2/59280.Finally, GCF of Fractions for 848/912, 182/520 is 2/59280.