How to Find GCF of 1120/108, 8552/5831?

GCF of 1120/108, 8552/5831

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 1120/108, 8552/5831 i.e 8/629748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1120/108, 8552/5831.

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 1120/108,8552/5831?

Given fractions are 1120/108,8552/5831

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 1120/108,8552/5831, numerators are 1120,8552

Denominators are 108,5831

The GCF of 1120,8552 is 8 .

LCM of 108,5831 is 629748.

The greatest common factor of 1120/108,8552/5831 = [GCF of 1120,8552]/[LCM of 108,5831]= 8/629748

Therefore, the GCF of 1120/108,8552/5831 is 8/629748.

Greatest Common Factor of 1120,8552

To find the highest common factor of 1120,8552, we have to find the factors of both numbers and list the highest common factor.

The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120

The factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552

The HCF of 1120,8552 is 8.

Lets's calculate GCF of 1120,8552

Greatest Common Factor (GCF) of 1120,8552 By Common Division

2	1120, 8552
2	560, 4276
2	280, 2138
	140, 1069

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

Greatest Common Factor of 1120,8552 By Matching Biggest Common Factor Method

Now, list down the factors of 1120

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120

Now, list down the factors of 8552

1,2,4,8,1069,2138,4276,8552

Greatest Common Factor

We found the factors 1120,8552 . The biggest common factor number is the GCF number.
So the greatest common factor 1120,8552 is 8.

Lets's calculate LCM of 108,5831

Lowest Common Multiple of 108,5831 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 629748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/629748

Therefore, the GCF of Fractions 1120/108,8552/5831 is 8/629748

Least Common Multiple of 108,5831 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 108,5831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,5831) = 1

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

GCF(108,5831) x common factors =1 x 1 = 1

LCM(108,5831) = ( 108 × 5831 ) / 1

LCM(108,5831) = 629748 / 1

LCM(108,5831) = 629748

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FAQs on GCF of Fractions of 1120/108, 8552/5831

1. What is the HCF of 1120,8552?

The HCF of 1120,8552 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 1120/108, 8552/5831?

Answer: GCF of Numerators as per given numbers 1120/108, 8552/5831 is

GCF of Numerators i.e. for 1120,8552 is 8

LCM of denominators i.e. for 108,5831 is 629748.

Thus, GCF of Fractions is 8/629748.Finally, GCF of Fractions for 1120/108, 8552/5831 is 8/629748.