How to Find GCF of 38/61, 175/94, 922/973?

GCF of 38/61, 175/94, 922/973

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 38/61, 175/94, 922/973 i.e 1/5579182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/61, 175/94, 922/973.

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 38/61,175/94,922/973?

Given fractions are 38/61,175/94,922/973

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 38/61,175/94,922/973, numerators are 38,175,922

Denominators are 61,94,973

The GCF of 38,175,922 is 1 .

LCM of 61,94,973 is 5579182.

The greatest common factor of 38/61,175/94,922/973 = [GCF of 38,175,922]/[LCM of 61,94,973]= 1/5579182

Therefore, the GCF of 38/61,175/94,922/973 is 1/5579182.

Greatest Common Factor of 38,175,922

To find the highest common factor of 38,175,922, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 175 are 1, 5, 7, 25, 35, 175

The factors of 922 are 1, 2, 461, 922

The HCF of 38,175,922 is 1.

Lets's calculate GCF of 38,175,922

Greatest Common Factor (GCF) of 38,175,922 By Common Division

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

Greatest Common Factor of 38,175,922 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 175

1,5,7,25,35,175

Now, list down the factors of 922

1,2,461,922

Greatest Common Factor

We found the factors 38,175,922 . The biggest common factor number is the GCF number.
So the greatest common factor 38,175,922 is 1.

Lets's calculate LCM of 61,94,973

Lowest Common Multiple of 61,94,973 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5579182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5579182

Therefore, the GCF of Fractions 38/61,175/94,922/973 is 1/5579182

Least Common Multiple of 61,94,973 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 61,94,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,94,973) = 1

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

GCF(61,94,973) x common factors =1 x 1 = 1

LCM(61,94,973) = ( 61 × 94 × 973 ) / 1

LCM(61,94,973) = 5579182 / 1

LCM(61,94,973) = 5579182

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/61, 175/94, 922/973

1. What is the HCF of 38,175,922?

The HCF of 38,175,922 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 38/61, 175/94, 922/973?

Answer: GCF of Numerators as per given numbers 38/61, 175/94, 922/973 is

GCF of Numerators i.e. for 38,175,922 is 1

LCM of denominators i.e. for 61,94,973 is 5579182.

Thus, GCF of Fractions is 1/5579182.Finally, GCF of Fractions for 38/61, 175/94, 922/973 is 1/5579182.