How to Find GCF of 928/140, 7112/283?

GCF of 928/140, 7112/283

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 928/140, 7112/283 i.e 8/39620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/140, 7112/283.

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 928/140,7112/283?

Given fractions are 928/140,7112/283

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 928/140,7112/283, numerators are 928,7112

Denominators are 140,283

The GCF of 928,7112 is 8 .

LCM of 140,283 is 39620.

The greatest common factor of 928/140,7112/283 = [GCF of 928,7112]/[LCM of 140,283]= 8/39620

Therefore, the GCF of 928/140,7112/283 is 8/39620.

Greatest Common Factor of 928,7112

To find the highest common factor of 928,7112, we have to find the factors of both numbers and list the highest common factor.

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112

The HCF of 928,7112 is 8.

Lets's calculate GCF of 928,7112

Greatest Common Factor (GCF) of 928,7112 By Common Division

2	928, 7112
2	464, 3556
2	232, 1778
	116, 889

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

Greatest Common Factor of 928,7112 By Matching Biggest Common Factor Method

Now, list down the factors of 928

1,2,4,8,16,29,32,58,116,232,464,928

Now, list down the factors of 7112

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Greatest Common Factor

We found the factors 928,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 928,7112 is 8.

Lets's calculate LCM of 140,283

Lowest Common Multiple of 140,283 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 39620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/39620

Therefore, the GCF of Fractions 928/140,7112/283 is 8/39620

Least Common Multiple of 140,283 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 140,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,283) = 1

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

GCF(140,283) x common factors =1 x 1 = 1

LCM(140,283) = ( 140 × 283 ) / 1

LCM(140,283) = 39620 / 1

LCM(140,283) = 39620

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FAQs on GCF of Fractions of 928/140, 7112/283

1. What is the HCF of 928,7112?

The HCF of 928,7112 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 928/140, 7112/283?

Answer: GCF of Numerators as per given numbers 928/140, 7112/283 is

GCF of Numerators i.e. for 928,7112 is 8

LCM of denominators i.e. for 140,283 is 39620.

Thus, GCF of Fractions is 8/39620.Finally, GCF of Fractions for 928/140, 7112/283 is 8/39620.