How to Find GCF of 46/15, 941/59, 764/998?

GCF of 46/15, 941/59, 764/998

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 46/15, 941/59, 764/998 i.e 1/883230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/15, 941/59, 764/998.

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 46/15,941/59,764/998?

Given fractions are 46/15,941/59,764/998

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 46/15,941/59,764/998, numerators are 46,941,764

Denominators are 15,59,998

The GCF of 46,941,764 is 1 .

LCM of 15,59,998 is 883230.

The greatest common factor of 46/15,941/59,764/998 = [GCF of 46,941,764]/[LCM of 15,59,998]= 1/883230

Therefore, the GCF of 46/15,941/59,764/998 is 1/883230.

Greatest Common Factor of 46,941,764

To find the highest common factor of 46,941,764, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 941 are 1, 941

The factors of 764 are 1, 2, 4, 191, 382, 764

The HCF of 46,941,764 is 1.

Lets's calculate GCF of 46,941,764

Greatest Common Factor (GCF) of 46,941,764 By Common Division

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

Greatest Common Factor of 46,941,764 By Matching Biggest Common Factor Method

Now, list down the factors of 46

1,2,23,46

Now, list down the factors of 941

1,941

Now, list down the factors of 764

1,2,4,191,382,764

Greatest Common Factor

We found the factors 46,941,764 . The biggest common factor number is the GCF number.
So the greatest common factor 46,941,764 is 1.

Lets's calculate LCM of 15,59,998

Lowest Common Multiple of 15,59,998 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 883230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/883230

Therefore, the GCF of Fractions 46/15,941/59,764/998 is 1/883230

Least Common Multiple of 15,59,998 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 15,59,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,59,998) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(15,59,998) x common factors =1 x 1 = 1

LCM(15,59,998) = ( 15 × 59 × 998 ) / 1

LCM(15,59,998) = 883230 / 1

LCM(15,59,998) = 883230

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 46/15, 941/59, 764/998

1. What is the HCF of 46,941,764?

The HCF of 46,941,764 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 46/15, 941/59, 764/998?

Answer: GCF of Numerators as per given numbers 46/15, 941/59, 764/998 is

GCF of Numerators i.e. for 46,941,764 is 1

LCM of denominators i.e. for 15,59,998 is 883230.

Thus, GCF of Fractions is 1/883230.Finally, GCF of Fractions for 46/15, 941/59, 764/998 is 1/883230.