How to Find GCF of 92/34, 541/75, 658/428?

GCF of 92/34, 541/75, 658/428

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 92/34, 541/75, 658/428 i.e 1/545700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/34, 541/75, 658/428.

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 92/34,541/75,658/428?

Given fractions are 92/34,541/75,658/428

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 92/34,541/75,658/428, numerators are 92,541,658

Denominators are 34,75,428

The GCF of 92,541,658 is 1 .

LCM of 34,75,428 is 545700.

The greatest common factor of 92/34,541/75,658/428 = [GCF of 92,541,658]/[LCM of 34,75,428]= 1/545700

Therefore, the GCF of 92/34,541/75,658/428 is 1/545700.

Greatest Common Factor of 92,541,658

To find the highest common factor of 92,541,658, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 541 are 1, 541

The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658

The HCF of 92,541,658 is 1.

Lets's calculate GCF of 92,541,658

Greatest Common Factor (GCF) of 92,541,658 By Common Division

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

Greatest Common Factor of 92,541,658 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 541

1,541

Now, list down the factors of 658

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 92,541,658 . The biggest common factor number is the GCF number.
So the greatest common factor 92,541,658 is 1.

Lets's calculate LCM of 34,75,428

Lowest Common Multiple of 34,75,428 using Common Division

2	34, 75, 428
	17, 75, 214

∴ So the LCM of the given numbers is 2 x 17 x 75 x 214 = 545700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545700

Therefore, the GCF of Fractions 92/34,541/75,658/428 is 1/545700

Least Common Multiple of 34,75,428 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 34,75,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,75,428) = 1

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

GCF(34,75,428) x common factors =1 x 2 = 2

LCM(34,75,428) = ( 34 × 75 × 428 ) / 2

LCM(34,75,428) = 1091400 / 2

LCM(34,75,428) = 545700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/34, 541/75, 658/428

1. What is the HCF of 92,541,658?

The HCF of 92,541,658 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 92/34, 541/75, 658/428?

Answer: GCF of Numerators as per given numbers 92/34, 541/75, 658/428 is

GCF of Numerators i.e. for 92,541,658 is 1

LCM of denominators i.e. for 34,75,428 is 545700.

Thus, GCF of Fractions is 1/545700.Finally, GCF of Fractions for 92/34, 541/75, 658/428 is 1/545700.