How to Find GCF of 1138/356, 3183/1951?

GCF of 1138/356, 3183/1951

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 1138/356, 3183/1951 i.e 1/694556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1138/356, 3183/1951.

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 1138/356,3183/1951?

Given fractions are 1138/356,3183/1951

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 1138/356,3183/1951, numerators are 1138,3183

Denominators are 356,1951

The GCF of 1138,3183 is 1 .

LCM of 356,1951 is 694556.

The greatest common factor of 1138/356,3183/1951 = [GCF of 1138,3183]/[LCM of 356,1951]= 1/694556

Therefore, the GCF of 1138/356,3183/1951 is 1/694556.

Greatest Common Factor of 1138,3183

To find the highest common factor of 1138,3183, we have to find the factors of both numbers and list the highest common factor.

The factors of 1138 are 1, 2, 569, 1138

The factors of 3183 are 1, 3, 1061, 3183

The HCF of 1138,3183 is 1.

Lets's calculate GCF of 1138,3183

Greatest Common Factor (GCF) of 1138,3183 By Common Division

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

Greatest Common Factor of 1138,3183 By Matching Biggest Common Factor Method

Now, list down the factors of 1138

1,2,569,1138

Now, list down the factors of 3183

1,3,1061,3183

Greatest Common Factor

We found the factors 1138,3183 . The biggest common factor number is the GCF number.
So the greatest common factor 1138,3183 is 1.

Lets's calculate LCM of 356,1951

Lowest Common Multiple of 356,1951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 694556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694556

Therefore, the GCF of Fractions 1138/356,3183/1951 is 1/694556

Least Common Multiple of 356,1951 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 356,1951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,1951) = 1

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

GCF(356,1951) x common factors =1 x 1 = 1

LCM(356,1951) = ( 356 × 1951 ) / 1

LCM(356,1951) = 694556 / 1

LCM(356,1951) = 694556

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FAQs on GCF of Fractions of 1138/356, 3183/1951

1. What is the HCF of 1138,3183?

The HCF of 1138,3183 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 1138/356, 3183/1951?

Answer: GCF of Numerators as per given numbers 1138/356, 3183/1951 is

GCF of Numerators i.e. for 1138,3183 is 1

LCM of denominators i.e. for 356,1951 is 694556.

Thus, GCF of Fractions is 1/694556.Finally, GCF of Fractions for 1138/356, 3183/1951 is 1/694556.