How to Find GCF of 1117/548, 4275/3944?

GCF of 1117/548, 4275/3944

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 1117/548, 4275/3944 i.e 1/540328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1117/548, 4275/3944.

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 1117/548,4275/3944?

Given fractions are 1117/548,4275/3944

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 1117/548,4275/3944, numerators are 1117,4275

Denominators are 548,3944

The GCF of 1117,4275 is 1 .

LCM of 548,3944 is 540328.

The greatest common factor of 1117/548,4275/3944 = [GCF of 1117,4275]/[LCM of 548,3944]= 1/540328

Therefore, the GCF of 1117/548,4275/3944 is 1/540328.

Greatest Common Factor of 1117,4275

To find the highest common factor of 1117,4275, we have to find the factors of both numbers and list the highest common factor.

The factors of 1117 are 1, 1117

The factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275

The HCF of 1117,4275 is 1.

Lets's calculate GCF of 1117,4275

Greatest Common Factor (GCF) of 1117,4275 By Common Division

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

Greatest Common Factor of 1117,4275 By Matching Biggest Common Factor Method

Now, list down the factors of 1117

1,1117

Now, list down the factors of 4275

1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275

Greatest Common Factor

We found the factors 1117,4275 . The biggest common factor number is the GCF number.
So the greatest common factor 1117,4275 is 1.

Lets's calculate LCM of 548,3944

Lowest Common Multiple of 548,3944 using Common Division

2	548, 3944
2	274, 1972
	137, 986

∴ So the LCM of the given numbers is 2 x 2 x 137 x 986 = 540328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540328

Therefore, the GCF of Fractions 1117/548,4275/3944 is 1/540328

Least Common Multiple of 548,3944 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 548,3944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,3944) = 4

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

GCF(548,3944) x common factors =4 x 1 = 4

LCM(548,3944) = ( 548 × 3944 ) / 4

LCM(548,3944) = 2161312 / 4

LCM(548,3944) = 540328

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FAQs on GCF of Fractions of 1117/548, 4275/3944

1. What is the HCF of 1117,4275?

The HCF of 1117,4275 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 1117/548, 4275/3944?

Answer: GCF of Numerators as per given numbers 1117/548, 4275/3944 is

GCF of Numerators i.e. for 1117,4275 is 1

LCM of denominators i.e. for 548,3944 is 540328.

Thus, GCF of Fractions is 1/540328.Finally, GCF of Fractions for 1117/548, 4275/3944 is 1/540328.