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GCF of 227/946, 813/601

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 227/946, 813/601 i.e 1/568546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/946, 813/601.

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 227/946,813/601?

Given fractions are 227/946,813/601

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 227/946,813/601, numerators are 227,813

Denominators are 946,601

The GCF of 227,813 is 1 .

LCM of 946,601 is 568546.

The greatest common factor of 227/946,813/601 = [GCF of 227,813]/[LCM of 946,601]= 1/568546

Therefore, the GCF of 227/946,813/601 is 1/568546.

Greatest Common Factor of 227,813

To find the highest common factor of 227,813, we have to find the factors of both numbers and list the highest common factor.

The factors of 227 are 1, 227

The factors of 813 are 1, 3, 271, 813

The HCF of 227,813 is 1.

Lets's calculate GCF of 227,813

Greatest Common Factor (GCF) of 227,813 By Common Division

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

Greatest Common Factor of 227,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,813 By Matching Biggest Common Factor Method

Now, list down the factors of 227

:

1,227

Now, list down the factors of 813

:

1,3,271,813

Greatest Common Factor

We found the factors 227,813 . The biggest common factor number is the GCF number.
So the greatest common factor 227,813 is 1.

Lets's calculate LCM of 946,601

Lowest Common Multiple of 946,601 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 568546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568546

Therefore, the GCF of Fractions 227/946,813/601 is 1/568546

Least Common Multiple of 946,601 with GCF Formula

Least Common Multiple of 946,601 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 946,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,601) = 1

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

GCF(946,601) x common factors =1 x 1 = 1

LCM(946,601) = ( 946 × 601 ) / 1

LCM(946,601) = 568546 / 1

LCM(946,601) = 568546


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FAQs on GCF of Fractions of 227/946, 813/601

1. What is the HCF of 227,813?

The HCF of 227,813 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 227/946, 813/601?

Answer: GCF of Numerators as per given numbers 227/946, 813/601 is

GCF of Numerators i.e. for 227,813 is 1

LCM of denominators i.e. for 946,601 is 568546.

Thus, GCF of Fractions is 1/568546.Finally, GCF of Fractions for 227/946, 813/601 is 1/568546.