How to Find GCF of 1427/802, 9229/7074?

GCF of 1427/802, 9229/7074

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 1427/802, 9229/7074 i.e 1/2836674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1427/802, 9229/7074.

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 1427/802,9229/7074?

Given fractions are 1427/802,9229/7074

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 1427/802,9229/7074, numerators are 1427,9229

Denominators are 802,7074

The GCF of 1427,9229 is 1 .

LCM of 802,7074 is 2836674.

The greatest common factor of 1427/802,9229/7074 = [GCF of 1427,9229]/[LCM of 802,7074]= 1/2836674

Therefore, the GCF of 1427/802,9229/7074 is 1/2836674.

Greatest Common Factor of 1427,9229

To find the highest common factor of 1427,9229, we have to find the factors of both numbers and list the highest common factor.

The factors of 1427 are 1, 1427

The factors of 9229 are 1, 11, 839, 9229

The HCF of 1427,9229 is 1.

Lets's calculate GCF of 1427,9229

Greatest Common Factor (GCF) of 1427,9229 By Common Division

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

Greatest Common Factor of 1427,9229 By Matching Biggest Common Factor Method

Now, list down the factors of 1427

1,1427

Now, list down the factors of 9229

1,11,839,9229

Greatest Common Factor

We found the factors 1427,9229 . The biggest common factor number is the GCF number.
So the greatest common factor 1427,9229 is 1.

Lets's calculate LCM of 802,7074

Lowest Common Multiple of 802,7074 using Common Division

2	802, 7074
	401, 3537

∴ So the LCM of the given numbers is 2 x 401 x 3537 = 2836674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2836674

Therefore, the GCF of Fractions 1427/802,9229/7074 is 1/2836674

Least Common Multiple of 802,7074 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 802,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,7074) = 2

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

GCF(802,7074) x common factors =2 x 1 = 2

LCM(802,7074) = ( 802 × 7074 ) / 2

LCM(802,7074) = 5673348 / 2

LCM(802,7074) = 2836674

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FAQs on GCF of Fractions of 1427/802, 9229/7074

1. What is the HCF of 1427,9229?

The HCF of 1427,9229 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 1427/802, 9229/7074?

Answer: GCF of Numerators as per given numbers 1427/802, 9229/7074 is

GCF of Numerators i.e. for 1427,9229 is 1

LCM of denominators i.e. for 802,7074 is 2836674.

Thus, GCF of Fractions is 1/2836674.Finally, GCF of Fractions for 1427/802, 9229/7074 is 1/2836674.