How to Find GCF of 1054/862, 5029/1760?

GCF of 1054/862, 5029/1760

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 1054/862, 5029/1760 i.e 1/758560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1054/862, 5029/1760.

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 1054/862,5029/1760?

Given fractions are 1054/862,5029/1760

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 1054/862,5029/1760, numerators are 1054,5029

Denominators are 862,1760

The GCF of 1054,5029 is 1 .

LCM of 862,1760 is 758560.

The greatest common factor of 1054/862,5029/1760 = [GCF of 1054,5029]/[LCM of 862,1760]= 1/758560

Therefore, the GCF of 1054/862,5029/1760 is 1/758560.

Greatest Common Factor of 1054,5029

To find the highest common factor of 1054,5029, we have to find the factors of both numbers and list the highest common factor.

The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054

The factors of 5029 are 1, 47, 107, 5029

The HCF of 1054,5029 is 1.

Lets's calculate GCF of 1054,5029

Greatest Common Factor (GCF) of 1054,5029 By Common Division

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

Greatest Common Factor of 1054,5029 By Matching Biggest Common Factor Method

Now, list down the factors of 1054

1,2,17,31,34,62,527,1054

Now, list down the factors of 5029

1,47,107,5029

Greatest Common Factor

We found the factors 1054,5029 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,5029 is 1.

Lets's calculate LCM of 862,1760

Lowest Common Multiple of 862,1760 using Common Division

2	862, 1760
	431, 880

∴ So the LCM of the given numbers is 2 x 431 x 880 = 758560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/758560

Therefore, the GCF of Fractions 1054/862,5029/1760 is 1/758560

Least Common Multiple of 862,1760 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 862,1760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,1760) = 2

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

GCF(862,1760) x common factors =2 x 1 = 2

LCM(862,1760) = ( 862 × 1760 ) / 2

LCM(862,1760) = 1517120 / 2

LCM(862,1760) = 758560

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FAQs on GCF of Fractions of 1054/862, 5029/1760

1. What is the HCF of 1054,5029?

The HCF of 1054,5029 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 1054/862, 5029/1760?

Answer: GCF of Numerators as per given numbers 1054/862, 5029/1760 is

GCF of Numerators i.e. for 1054,5029 is 1

LCM of denominators i.e. for 862,1760 is 758560.

Thus, GCF of Fractions is 1/758560.Finally, GCF of Fractions for 1054/862, 5029/1760 is 1/758560.