Greatest Common Factor of 34/63, 48/535, 919/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/63, 48/535, 919/133

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 34/63,48/535,919/133

Given fractions are 34/63,48/535,919/133

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 34,48,919

Greatest Common Factor of Numerators i.e. GCF of 34,48,919 is 1 .

LCM of Denominators means LCM of 63,535,133 as per the given fractions.

LCM of 63,535,133 is 640395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,48,919

GCF of Fractions 34/63,48/535,919/133 is 1/640395

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

Greatest Common Factor of 34,48,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,48,919 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 34,48,919 . The biggest common factor number is the GCF number.
So the greatest common factor 34,48,919 is 1.

Lets's calculate LCM of 63,535,133

7 63, 535, 133
9, 535, 19

∴ So the LCM of the given numbers is 7 x 9 x 535 x 19 = 640395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640395

Therefore, the GCF of Fractions 34/63,48/535,919/133 is 1/640395

Least Common Multiple of 63,535,133 with GCF Formula

Least Common Multiple of 63,535,133 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,535,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,535,133) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(63,535,133) x common factors =1 x 7 = 7

LCM(63,535,133) = ( 63 × 535 × 133 ) / 7

LCM(63,535,133) = 4482765 / 7

LCM(63,535,133) = 640395


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 34/63, 48/535, 919/133

1. 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.

2. What is the GCF of Fractions for 34/63, 48/535, 919/133?

Answer: GCF of Numerators as per given numbers 34/63, 48/535, 919/133 is

GCF of Numerators i.e. for 34,48,919 is 1

LCM of denominators i.e. for 63,535,133 is 640395.

Thus, GCF of Fractions is 1/640395.Finally, GCF of Fractions for 34/63, 48/535, 919/133 is 1/640395.