How to Find GCF of 93/61, 87/92, 874/210?

GCF of 93/61, 87/92, 874/210

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 93/61, 87/92, 874/210 i.e 1/589260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/61, 87/92, 874/210.

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 93/61,87/92,874/210?

Given fractions are 93/61,87/92,874/210

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 93/61,87/92,874/210, numerators are 93,87,874

Denominators are 61,92,210

The GCF of 93,87,874 is 1 .

LCM of 61,92,210 is 589260.

The greatest common factor of 93/61,87/92,874/210 = [GCF of 93,87,874]/[LCM of 61,92,210]= 1/589260

Therefore, the GCF of 93/61,87/92,874/210 is 1/589260.

Greatest Common Factor of 93,87,874

To find the highest common factor of 93,87,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

The factors of 87 are 1, 3, 29, 87

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 93,87,874 is 1.

Lets's calculate GCF of 93,87,874

Greatest Common Factor (GCF) of 93,87,874 By Common Division

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

Greatest Common Factor of 93,87,874 By Matching Biggest Common Factor Method

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 874

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 93,87,874 . The biggest common factor number is the GCF number.
So the greatest common factor 93,87,874 is 1.

Lets's calculate LCM of 61,92,210

Lowest Common Multiple of 61,92,210 using Common Division

2	61, 92, 210
	61, 46, 105

∴ So the LCM of the given numbers is 2 x 61 x 46 x 105 = 589260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589260

Therefore, the GCF of Fractions 93/61,87/92,874/210 is 1/589260

Least Common Multiple of 61,92,210 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 61,92,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,92,210) = 1

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

GCF(61,92,210) x common factors =1 x 2 = 2

LCM(61,92,210) = ( 61 × 92 × 210 ) / 2

LCM(61,92,210) = 1178520 / 2

LCM(61,92,210) = 589260

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FAQs on GCF of Fractions of 93/61, 87/92, 874/210

1. What is the HCF of 93,87,874?

The HCF of 93,87,874 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 93/61, 87/92, 874/210?

Answer: GCF of Numerators as per given numbers 93/61, 87/92, 874/210 is

GCF of Numerators i.e. for 93,87,874 is 1

LCM of denominators i.e. for 61,92,210 is 589260.

Thus, GCF of Fractions is 1/589260.Finally, GCF of Fractions for 93/61, 87/92, 874/210 is 1/589260.