How to Find GCF of 1151/520, 5142/3206?

GCF of 1151/520, 5142/3206

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 1151/520, 5142/3206 i.e 1/833560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1151/520, 5142/3206.

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 1151/520,5142/3206?

Given fractions are 1151/520,5142/3206

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 1151/520,5142/3206, numerators are 1151,5142

Denominators are 520,3206

The GCF of 1151,5142 is 1 .

LCM of 520,3206 is 833560.

The greatest common factor of 1151/520,5142/3206 = [GCF of 1151,5142]/[LCM of 520,3206]= 1/833560

Therefore, the GCF of 1151/520,5142/3206 is 1/833560.

Greatest Common Factor of 1151,5142

To find the highest common factor of 1151,5142, we have to find the factors of both numbers and list the highest common factor.

The factors of 1151 are 1, 1151

The factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142

The HCF of 1151,5142 is 1.

Lets's calculate GCF of 1151,5142

Greatest Common Factor (GCF) of 1151,5142 By Common Division

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

Greatest Common Factor of 1151,5142 By Matching Biggest Common Factor Method

Now, list down the factors of 1151

1,1151

Now, list down the factors of 5142

1,2,3,6,857,1714,2571,5142

Greatest Common Factor

We found the factors 1151,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,5142 is 1.

Lets's calculate LCM of 520,3206

Lowest Common Multiple of 520,3206 using Common Division

2	520, 3206
	260, 1603

∴ So the LCM of the given numbers is 2 x 260 x 1603 = 833560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/833560

Therefore, the GCF of Fractions 1151/520,5142/3206 is 1/833560

Least Common Multiple of 520,3206 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 520,3206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,3206) = 2

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

GCF(520,3206) x common factors =2 x 1 = 2

LCM(520,3206) = ( 520 × 3206 ) / 2

LCM(520,3206) = 1667120 / 2

LCM(520,3206) = 833560

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FAQs on GCF of Fractions of 1151/520, 5142/3206

1. What is the HCF of 1151,5142?

The HCF of 1151,5142 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 1151/520, 5142/3206?

Answer: GCF of Numerators as per given numbers 1151/520, 5142/3206 is

GCF of Numerators i.e. for 1151,5142 is 1

LCM of denominators i.e. for 520,3206 is 833560.

Thus, GCF of Fractions is 1/833560.Finally, GCF of Fractions for 1151/520, 5142/3206 is 1/833560.