How to Find GCF of 90/792, 908/178, 427/503?

GCF of 90/792, 908/178, 427/503

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 90/792, 908/178, 427/503 i.e 1/35455464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/792, 908/178, 427/503.

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 90/792,908/178,427/503?

Given fractions are 90/792,908/178,427/503

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 90/792,908/178,427/503, numerators are 90,908,427

Denominators are 792,178,503

The GCF of 90,908,427 is 1 .

LCM of 792,178,503 is 35455464.

The greatest common factor of 90/792,908/178,427/503 = [GCF of 90,908,427]/[LCM of 792,178,503]= 1/35455464

Therefore, the GCF of 90/792,908/178,427/503 is 1/35455464.

Greatest Common Factor of 90,908,427

To find the highest common factor of 90,908,427, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 427 are 1, 7, 61, 427

The HCF of 90,908,427 is 1.

Lets's calculate GCF of 90,908,427

Greatest Common Factor (GCF) of 90,908,427 By Common Division

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

Greatest Common Factor of 90,908,427 By Matching Biggest Common Factor Method

Now, list down the factors of 90

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 908

1,2,4,227,454,908

Now, list down the factors of 427

1,7,61,427

Greatest Common Factor

We found the factors 90,908,427 . The biggest common factor number is the GCF number.
So the greatest common factor 90,908,427 is 1.

Lets's calculate LCM of 792,178,503

Lowest Common Multiple of 792,178,503 using Common Division

2	792, 178, 503
	396, 89, 503

∴ So the LCM of the given numbers is 2 x 396 x 89 x 503 = 35455464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35455464

Therefore, the GCF of Fractions 90/792,908/178,427/503 is 1/35455464

Least Common Multiple of 792,178,503 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 792,178,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,178,503) = 1

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

GCF(792,178,503) x common factors =1 x 2 = 2

LCM(792,178,503) = ( 792 × 178 × 503 ) / 2

LCM(792,178,503) = 70910928 / 2

LCM(792,178,503) = 35455464

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 90/792, 908/178, 427/503

1. What is the HCF of 90,908,427?

The HCF of 90,908,427 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 90/792, 908/178, 427/503?

Answer: GCF of Numerators as per given numbers 90/792, 908/178, 427/503 is

GCF of Numerators i.e. for 90,908,427 is 1

LCM of denominators i.e. for 792,178,503 is 35455464.

Thus, GCF of Fractions is 1/35455464.Finally, GCF of Fractions for 90/792, 908/178, 427/503 is 1/35455464.