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GCF of 911/383, 942/223

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 911/383, 942/223 i.e 1/85409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/383, 942/223.

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 911/383,942/223?

Given fractions are 911/383,942/223

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 911/383,942/223, numerators are 911,942

Denominators are 383,223

The GCF of 911,942 is 1 .

LCM of 383,223 is 85409.

The greatest common factor of 911/383,942/223 = [GCF of 911,942]/[LCM of 383,223]= 1/85409

Therefore, the GCF of 911/383,942/223 is 1/85409.

Greatest Common Factor of 911,942

To find the highest common factor of 911,942, we have to find the factors of both numbers and list the highest common factor.

The factors of 911 are 1, 911

The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942

The HCF of 911,942 is 1.

Lets's calculate GCF of 911,942

Greatest Common Factor (GCF) of 911,942 By Common Division

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

Greatest Common Factor of 911,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,942 By Matching Biggest Common Factor Method

Now, list down the factors of 911

:

1,911

Now, list down the factors of 942

:

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 911,942 . The biggest common factor number is the GCF number.
So the greatest common factor 911,942 is 1.

Lets's calculate LCM of 383,223

Lowest Common Multiple of 383,223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 85409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85409

Therefore, the GCF of Fractions 911/383,942/223 is 1/85409

Least Common Multiple of 383,223 with GCF Formula

Least Common Multiple of 383,223 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 383,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,223) = 1

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

GCF(383,223) x common factors =1 x 1 = 1

LCM(383,223) = ( 383 × 223 ) / 1

LCM(383,223) = 85409 / 1

LCM(383,223) = 85409


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FAQs on GCF of Fractions of 911/383, 942/223

1. What is the HCF of 911,942?

The HCF of 911,942 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 911/383, 942/223?

Answer: GCF of Numerators as per given numbers 911/383, 942/223 is

GCF of Numerators i.e. for 911,942 is 1

LCM of denominators i.e. for 383,223 is 85409.

Thus, GCF of Fractions is 1/85409.Finally, GCF of Fractions for 911/383, 942/223 is 1/85409.