How to Find GCF of 77/258, 45/353, 472/920?

GCF of 77/258, 45/353, 472/920

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 77/258, 45/353, 472/920 i.e 1/41894040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/258, 45/353, 472/920.

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 77/258,45/353,472/920?

Given fractions are 77/258,45/353,472/920

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 77/258,45/353,472/920, numerators are 77,45,472

Denominators are 258,353,920

The GCF of 77,45,472 is 1 .

LCM of 258,353,920 is 41894040.

The greatest common factor of 77/258,45/353,472/920 = [GCF of 77,45,472]/[LCM of 258,353,920]= 1/41894040

Therefore, the GCF of 77/258,45/353,472/920 is 1/41894040.

Greatest Common Factor of 77,45,472

To find the highest common factor of 77,45,472, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472

The HCF of 77,45,472 is 1.

Lets's calculate GCF of 77,45,472

Greatest Common Factor (GCF) of 77,45,472 By Common Division

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

Greatest Common Factor of 77,45,472 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 472

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 77,45,472 . The biggest common factor number is the GCF number.
So the greatest common factor 77,45,472 is 1.

Lets's calculate LCM of 258,353,920

Lowest Common Multiple of 258,353,920 using Common Division

2	258, 353, 920
	129, 353, 460

∴ So the LCM of the given numbers is 2 x 129 x 353 x 460 = 41894040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41894040

Therefore, the GCF of Fractions 77/258,45/353,472/920 is 1/41894040

Least Common Multiple of 258,353,920 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 258,353,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,353,920) = 1

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

GCF(258,353,920) x common factors =1 x 2 = 2

LCM(258,353,920) = ( 258 × 353 × 920 ) / 2

LCM(258,353,920) = 83788080 / 2

LCM(258,353,920) = 41894040

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 77/258, 45/353, 472/920

1. What is the HCF of 77,45,472?

The HCF of 77,45,472 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 77/258, 45/353, 472/920?

Answer: GCF of Numerators as per given numbers 77/258, 45/353, 472/920 is

GCF of Numerators i.e. for 77,45,472 is 1

LCM of denominators i.e. for 258,353,920 is 41894040.

Thus, GCF of Fractions is 1/41894040.Finally, GCF of Fractions for 77/258, 45/353, 472/920 is 1/41894040.