How to Find GCF of 711/61, 460/50, 871/74?

GCF of 711/61, 460/50, 871/74

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 711/61, 460/50, 871/74 i.e 1/112850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/61, 460/50, 871/74.

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 711/61,460/50,871/74?

Given fractions are 711/61,460/50,871/74

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 711/61,460/50,871/74, numerators are 711,460,871

Denominators are 61,50,74

The GCF of 711,460,871 is 1 .

LCM of 61,50,74 is 112850.

The greatest common factor of 711/61,460/50,871/74 = [GCF of 711,460,871]/[LCM of 61,50,74]= 1/112850

Therefore, the GCF of 711/61,460/50,871/74 is 1/112850.

Greatest Common Factor of 711,460,871

To find the highest common factor of 711,460,871, we have to find the factors of both numbers and list the highest common factor.

The factors of 711 are 1, 3, 9, 79, 237, 711

The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

The factors of 871 are 1, 13, 67, 871

The HCF of 711,460,871 is 1.

Lets's calculate GCF of 711,460,871

Greatest Common Factor (GCF) of 711,460,871 By Common Division

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

Greatest Common Factor of 711,460,871 By Matching Biggest Common Factor Method

Now, list down the factors of 711

1,3,9,79,237,711

Now, list down the factors of 460

1,2,4,5,10,20,23,46,92,115,230,460

Now, list down the factors of 871

1,13,67,871

Greatest Common Factor

We found the factors 711,460,871 . The biggest common factor number is the GCF number.
So the greatest common factor 711,460,871 is 1.

Lets's calculate LCM of 61,50,74

Lowest Common Multiple of 61,50,74 using Common Division

2	61, 50, 74
	61, 25, 37

∴ So the LCM of the given numbers is 2 x 61 x 25 x 37 = 112850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112850

Therefore, the GCF of Fractions 711/61,460/50,871/74 is 1/112850

Least Common Multiple of 61,50,74 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 61,50,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,50,74) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,50,74) x common factors =1 x 2 = 2

LCM(61,50,74) = ( 61 × 50 × 74 ) / 2

LCM(61,50,74) = 225700 / 2

LCM(61,50,74) = 112850

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 711/61, 460/50, 871/74

1. What is the HCF of 711,460,871?

The HCF of 711,460,871 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 711/61, 460/50, 871/74?

Answer: GCF of Numerators as per given numbers 711/61, 460/50, 871/74 is

GCF of Numerators i.e. for 711,460,871 is 1

LCM of denominators i.e. for 61,50,74 is 112850.

Thus, GCF of Fractions is 1/112850.Finally, GCF of Fractions for 711/61, 460/50, 871/74 is 1/112850.