How to Find GCF of 1307/638, 1892/7343?

GCF of 1307/638, 1892/7343

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 1307/638, 1892/7343 i.e 1/4684834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1307/638, 1892/7343.

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 1307/638,1892/7343?

Given fractions are 1307/638,1892/7343

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 1307/638,1892/7343, numerators are 1307,1892

Denominators are 638,7343

The GCF of 1307,1892 is 1 .

LCM of 638,7343 is 4684834.

The greatest common factor of 1307/638,1892/7343 = [GCF of 1307,1892]/[LCM of 638,7343]= 1/4684834

Therefore, the GCF of 1307/638,1892/7343 is 1/4684834.

Greatest Common Factor of 1307,1892

To find the highest common factor of 1307,1892, we have to find the factors of both numbers and list the highest common factor.

The factors of 1307 are 1, 1307

The factors of 1892 are 1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1892

The HCF of 1307,1892 is 1.

Lets's calculate GCF of 1307,1892

Greatest Common Factor (GCF) of 1307,1892 By Common Division

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

Greatest Common Factor of 1307,1892 By Matching Biggest Common Factor Method

Now, list down the factors of 1307

1,1307

Now, list down the factors of 1892

1,2,4,11,22,43,44,86,172,473,946,1892

Greatest Common Factor

We found the factors 1307,1892 . The biggest common factor number is the GCF number.
So the greatest common factor 1307,1892 is 1.

Lets's calculate LCM of 638,7343

Lowest Common Multiple of 638,7343 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4684834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4684834

Therefore, the GCF of Fractions 1307/638,1892/7343 is 1/4684834

Least Common Multiple of 638,7343 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 638,7343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,7343) = 1

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

GCF(638,7343) x common factors =1 x 1 = 1

LCM(638,7343) = ( 638 × 7343 ) / 1

LCM(638,7343) = 4684834 / 1

LCM(638,7343) = 4684834

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FAQs on GCF of Fractions of 1307/638, 1892/7343

1. What is the HCF of 1307,1892?

The HCF of 1307,1892 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 1307/638, 1892/7343?

Answer: GCF of Numerators as per given numbers 1307/638, 1892/7343 is

GCF of Numerators i.e. for 1307,1892 is 1

LCM of denominators i.e. for 638,7343 is 4684834.

Thus, GCF of Fractions is 1/4684834.Finally, GCF of Fractions for 1307/638, 1892/7343 is 1/4684834.