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GCF of 945/54, 103/263

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 945/54, 103/263 i.e 1/14202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/54, 103/263.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 945/54,103/263?

Given fractions are 945/54,103/263

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 945/54,103/263, numerators are 945,103

Denominators are 54,263

The GCF of 945,103 is 1 .

LCM of 54,263 is 14202.

The greatest common factor of 945/54,103/263 = [GCF of 945,103]/[LCM of 54,263]= 1/14202

Therefore, the GCF of 945/54,103/263 is 1/14202.

Greatest Common Factor of 945,103

To find the highest common factor of 945,103, we have to find the factors of both numbers and list the highest common factor.

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The factors of 103 are 1, 103

The HCF of 945,103 is 1.

Lets's calculate GCF of 945,103

Greatest Common Factor (GCF) of 945,103 By Common Division

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

Greatest Common Factor of 945,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,103 By Matching Biggest Common Factor Method

Now, list down the factors of 945

:

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Now, list down the factors of 103

:

1,103

Greatest Common Factor

We found the factors 945,103 . The biggest common factor number is the GCF number.
So the greatest common factor 945,103 is 1.

Lets's calculate LCM of 54,263

Lowest Common Multiple of 54,263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14202

Therefore, the GCF of Fractions 945/54,103/263 is 1/14202

Least Common Multiple of 54,263 with GCF Formula

Least Common Multiple of 54,263 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 54,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,263) = 1

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

GCF(54,263) x common factors =1 x 1 = 1

LCM(54,263) = ( 54 × 263 ) / 1

LCM(54,263) = 14202 / 1

LCM(54,263) = 14202


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FAQs on GCF of Fractions of 945/54, 103/263

1. What is the HCF of 945,103?

The HCF of 945,103 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 945/54, 103/263?

Answer: GCF of Numerators as per given numbers 945/54, 103/263 is

GCF of Numerators i.e. for 945,103 is 1

LCM of denominators i.e. for 54,263 is 14202.

Thus, GCF of Fractions is 1/14202.Finally, GCF of Fractions for 945/54, 103/263 is 1/14202.