How to Find GCF of 1432/342, 7949/424?

GCF of 1432/342, 7949/424

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 1432/342, 7949/424 i.e 1/72504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1432/342, 7949/424.

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 1432/342,7949/424?

Given fractions are 1432/342,7949/424

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 1432/342,7949/424, numerators are 1432,7949

Denominators are 342,424

The GCF of 1432,7949 is 1 .

LCM of 342,424 is 72504.

The greatest common factor of 1432/342,7949/424 = [GCF of 1432,7949]/[LCM of 342,424]= 1/72504

Therefore, the GCF of 1432/342,7949/424 is 1/72504.

Greatest Common Factor of 1432,7949

To find the highest common factor of 1432,7949, we have to find the factors of both numbers and list the highest common factor.

The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432

The factors of 7949 are 1, 7949

The HCF of 1432,7949 is 1.

Lets's calculate GCF of 1432,7949

Greatest Common Factor (GCF) of 1432,7949 By Common Division

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

Greatest Common Factor of 1432,7949 By Matching Biggest Common Factor Method

Now, list down the factors of 1432

1,2,4,8,179,358,716,1432

Now, list down the factors of 7949

1,7949

Greatest Common Factor

We found the factors 1432,7949 . The biggest common factor number is the GCF number.
So the greatest common factor 1432,7949 is 1.

Lets's calculate LCM of 342,424

Lowest Common Multiple of 342,424 using Common Division

2	342, 424
	171, 212

∴ So the LCM of the given numbers is 2 x 171 x 212 = 72504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72504

Therefore, the GCF of Fractions 1432/342,7949/424 is 1/72504

Least Common Multiple of 342,424 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 342,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,424) = 2

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

GCF(342,424) x common factors =2 x 1 = 2

LCM(342,424) = ( 342 × 424 ) / 2

LCM(342,424) = 145008 / 2

LCM(342,424) = 72504

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FAQs on GCF of Fractions of 1432/342, 7949/424

1. What is the HCF of 1432,7949?

The HCF of 1432,7949 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 1432/342, 7949/424?

Answer: GCF of Numerators as per given numbers 1432/342, 7949/424 is

GCF of Numerators i.e. for 1432,7949 is 1

LCM of denominators i.e. for 342,424 is 72504.

Thus, GCF of Fractions is 1/72504.Finally, GCF of Fractions for 1432/342, 7949/424 is 1/72504.