How to Find GCF of 74/563, 58/941, 878/949?

GCF of 74/563, 58/941, 878/949

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 74/563, 58/941, 878/949 i.e 2/502764067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/563, 58/941, 878/949.

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 74/563,58/941,878/949?

Given fractions are 74/563,58/941,878/949

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 74/563,58/941,878/949, numerators are 74,58,878

Denominators are 563,941,949

The GCF of 74,58,878 is 2 .

LCM of 563,941,949 is 502764067.

The greatest common factor of 74/563,58/941,878/949 = [GCF of 74,58,878]/[LCM of 563,941,949]= 2/502764067

Therefore, the GCF of 74/563,58/941,878/949 is 2/502764067.

Greatest Common Factor of 74,58,878

To find the highest common factor of 74,58,878, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 58 are 1, 2, 29, 58

The factors of 878 are 1, 2, 439, 878

The HCF of 74,58,878 is 2.

Lets's calculate GCF of 74,58,878

Greatest Common Factor (GCF) of 74,58,878 By Common Division

2	74, 58, 878
	37, 29, 439

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 74,58,878 By Matching Biggest Common Factor Method

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 878

1,2,439,878

Greatest Common Factor

We found the factors 74,58,878 . The biggest common factor number is the GCF number.
So the greatest common factor 74,58,878 is 2.

Lets's calculate LCM of 563,941,949

Lowest Common Multiple of 563,941,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 502764067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/502764067

Therefore, the GCF of Fractions 74/563,58/941,878/949 is 2/502764067

Least Common Multiple of 563,941,949 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 563,941,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,941,949) = 1

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

GCF(563,941,949) x common factors =1 x 1 = 1

LCM(563,941,949) = ( 563 × 941 × 949 ) / 1

LCM(563,941,949) = 502764067 / 1

LCM(563,941,949) = 502764067

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 74/563, 58/941, 878/949

1. What is the HCF of 74,58,878?

The HCF of 74,58,878 is 2

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 74/563, 58/941, 878/949?

Answer: GCF of Numerators as per given numbers 74/563, 58/941, 878/949 is

GCF of Numerators i.e. for 74,58,878 is 2

LCM of denominators i.e. for 563,941,949 is 502764067.

Thus, GCF of Fractions is 2/502764067.Finally, GCF of Fractions for 74/563, 58/941, 878/949 is 2/502764067.