How to Find GCF of 35/424, 35/916, 148/359?

GCF of 35/424, 35/916, 148/359

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 35/424, 35/916, 148/359 i.e 1/34857464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/424, 35/916, 148/359.

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 35/424,35/916,148/359?

Given fractions are 35/424,35/916,148/359

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 35/424,35/916,148/359, numerators are 35,35,148

Denominators are 424,916,359

The GCF of 35,35,148 is 1 .

LCM of 424,916,359 is 34857464.

The greatest common factor of 35/424,35/916,148/359 = [GCF of 35,35,148]/[LCM of 424,916,359]= 1/34857464

Therefore, the GCF of 35/424,35/916,148/359 is 1/34857464.

Greatest Common Factor of 35,35,148

To find the highest common factor of 35,35,148, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

The factors of 148 are 1, 2, 4, 37, 74, 148

The HCF of 35,35,148 is 1.

Lets's calculate GCF of 35,35,148

Greatest Common Factor (GCF) of 35,35,148 By Common Division

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

Greatest Common Factor of 35,35,148 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 148

1,2,4,37,74,148

Greatest Common Factor

We found the factors 35,35,148 . The biggest common factor number is the GCF number.
So the greatest common factor 35,35,148 is 1.

Lets's calculate LCM of 424,916,359

Lowest Common Multiple of 424,916,359 using Common Division

2	424, 916, 359
2	212, 458, 359
	106, 229, 359

∴ So the LCM of the given numbers is 2 x 2 x 106 x 229 x 359 = 34857464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34857464

Therefore, the GCF of Fractions 35/424,35/916,148/359 is 1/34857464

Least Common Multiple of 424,916,359 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 424,916,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,916,359) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(424,916,359) x common factors =1 x 4 = 4

LCM(424,916,359) = ( 424 × 916 × 359 ) / 4

LCM(424,916,359) = 139429856 / 4

LCM(424,916,359) = 34857464

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 35/424, 35/916, 148/359

1. What is the HCF of 35,35,148?

The HCF of 35,35,148 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 35/424, 35/916, 148/359?

Answer: GCF of Numerators as per given numbers 35/424, 35/916, 148/359 is

GCF of Numerators i.e. for 35,35,148 is 1

LCM of denominators i.e. for 424,916,359 is 34857464.

Thus, GCF of Fractions is 1/34857464.Finally, GCF of Fractions for 35/424, 35/916, 148/359 is 1/34857464.