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GCF of 1801/257, 9943/197

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 1801/257, 9943/197 i.e 1/50629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1801/257, 9943/197.

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 1801/257,9943/197?

Given fractions are 1801/257,9943/197

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 1801/257,9943/197, numerators are 1801,9943

Denominators are 257,197

The GCF of 1801,9943 is 1 .

LCM of 257,197 is 50629.

The greatest common factor of 1801/257,9943/197 = [GCF of 1801,9943]/[LCM of 257,197]= 1/50629

Therefore, the GCF of 1801/257,9943/197 is 1/50629.

Greatest Common Factor of 1801,9943

To find the highest common factor of 1801,9943, we have to find the factors of both numbers and list the highest common factor.

The factors of 1801 are 1, 1801

The factors of 9943 are 1, 61, 163, 9943

The HCF of 1801,9943 is 1.

Lets's calculate GCF of 1801,9943

Greatest Common Factor (GCF) of 1801,9943 By Common Division

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

Greatest Common Factor of 1801,9943 By Matching Biggest Common Factor Method

Greatest Common Factor of 1801,9943 By Matching Biggest Common Factor Method

Now, list down the factors of 1801

:

1,1801

Now, list down the factors of 9943

:

1,61,163,9943

Greatest Common Factor

We found the factors 1801,9943 . The biggest common factor number is the GCF number.
So the greatest common factor 1801,9943 is 1.

Lets's calculate LCM of 257,197

Lowest Common Multiple of 257,197 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50629

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50629

Therefore, the GCF of Fractions 1801/257,9943/197 is 1/50629

Least Common Multiple of 257,197 with GCF Formula

Least Common Multiple of 257,197 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 257,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,197) = 1

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

GCF(257,197) x common factors =1 x 1 = 1

LCM(257,197) = ( 257 × 197 ) / 1

LCM(257,197) = 50629 / 1

LCM(257,197) = 50629


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FAQs on GCF of Fractions of 1801/257, 9943/197

1. What is the HCF of 1801,9943?

The HCF of 1801,9943 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 1801/257, 9943/197?

Answer: GCF of Numerators as per given numbers 1801/257, 9943/197 is

GCF of Numerators i.e. for 1801,9943 is 1

LCM of denominators i.e. for 257,197 is 50629.

Thus, GCF of Fractions is 1/50629.Finally, GCF of Fractions for 1801/257, 9943/197 is 1/50629.