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GCF of 1849/777, 8237/1561

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 1849/777, 8237/1561 i.e 1/173271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1849/777, 8237/1561.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1849/777,8237/1561?

Given fractions are 1849/777,8237/1561

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 1849/777,8237/1561, numerators are 1849,8237

Denominators are 777,1561

The GCF of 1849,8237 is 1 .

LCM of 777,1561 is 173271.

The greatest common factor of 1849/777,8237/1561 = [GCF of 1849,8237]/[LCM of 777,1561]= 1/173271

Therefore, the GCF of 1849/777,8237/1561 is 1/173271.

Greatest Common Factor of 1849,8237

To find the highest common factor of 1849,8237, we have to find the factors of both numbers and list the highest common factor.

The factors of 1849 are 1, 43, 1849

The factors of 8237 are 1, 8237

The HCF of 1849,8237 is 1.

Lets's calculate GCF of 1849,8237

Greatest Common Factor (GCF) of 1849,8237 By Common Division

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

Greatest Common Factor of 1849,8237 By Matching Biggest Common Factor Method

Greatest Common Factor of 1849,8237 By Matching Biggest Common Factor Method

Now, list down the factors of 1849

:

1,43,1849

Now, list down the factors of 8237

:

1,8237

Greatest Common Factor

We found the factors 1849,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 1849,8237 is 1.


Lets's calculate LCM of 777,1561

Lowest Common Multiple of 777,1561 using Common Division

7 777, 1561
111, 223

∴ So the LCM of the given numbers is 7 x 111 x 223 = 173271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173271

Therefore, the GCF of Fractions 1849/777,8237/1561 is 1/173271

Least Common Multiple of 777,1561 with GCF Formula

Least Common Multiple of 777,1561 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 777,1561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,1561) = 7

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

GCF(777,1561) x common factors =7 x 1 = 7

LCM(777,1561) = ( 777 × 1561 ) / 7

LCM(777,1561) = 1212897 / 7

LCM(777,1561) = 173271


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1849/777, 8237/1561

1. What is the HCF of 1849,8237?

The HCF of 1849,8237 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 1849/777, 8237/1561?

Answer: GCF of Numerators as per given numbers 1849/777, 8237/1561 is

GCF of Numerators i.e. for 1849,8237 is 1

LCM of denominators i.e. for 777,1561 is 173271.

Thus, GCF of Fractions is 1/173271.Finally, GCF of Fractions for 1849/777, 8237/1561 is 1/173271.