How to Find GCF of 1103/495, 7126/1435?

GCF of 1103/495, 7126/1435

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 1103/495, 7126/1435 i.e 1/142065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1103/495, 7126/1435.

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 1103/495,7126/1435?

Given fractions are 1103/495,7126/1435

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 1103/495,7126/1435, numerators are 1103,7126

Denominators are 495,1435

The GCF of 1103,7126 is 1 .

LCM of 495,1435 is 142065.

The greatest common factor of 1103/495,7126/1435 = [GCF of 1103,7126]/[LCM of 495,1435]= 1/142065

Therefore, the GCF of 1103/495,7126/1435 is 1/142065.

Greatest Common Factor of 1103,7126

To find the highest common factor of 1103,7126, we have to find the factors of both numbers and list the highest common factor.

The factors of 1103 are 1, 1103

The factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126

The HCF of 1103,7126 is 1.

Lets's calculate GCF of 1103,7126

Greatest Common Factor (GCF) of 1103,7126 By Common Division

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

Greatest Common Factor of 1103,7126 By Matching Biggest Common Factor Method

Now, list down the factors of 1103

1,1103

Now, list down the factors of 7126

1,2,7,14,509,1018,3563,7126

Greatest Common Factor

We found the factors 1103,7126 . The biggest common factor number is the GCF number.
So the greatest common factor 1103,7126 is 1.

Lets's calculate LCM of 495,1435

Lowest Common Multiple of 495,1435 using Common Division

5	495, 1435
	99, 287

∴ So the LCM of the given numbers is 5 x 99 x 287 = 142065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142065

Therefore, the GCF of Fractions 1103/495,7126/1435 is 1/142065

Least Common Multiple of 495,1435 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 495,1435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,1435) = 5

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

GCF(495,1435) x common factors =5 x 1 = 5

LCM(495,1435) = ( 495 × 1435 ) / 5

LCM(495,1435) = 710325 / 5

LCM(495,1435) = 142065

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FAQs on GCF of Fractions of 1103/495, 7126/1435

1. What is the HCF of 1103,7126?

The HCF of 1103,7126 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 1103/495, 7126/1435?

Answer: GCF of Numerators as per given numbers 1103/495, 7126/1435 is

GCF of Numerators i.e. for 1103,7126 is 1

LCM of denominators i.e. for 495,1435 is 142065.

Thus, GCF of Fractions is 1/142065.Finally, GCF of Fractions for 1103/495, 7126/1435 is 1/142065.