How to Find GCF of 4054/947, 4263/3776?

GCF of 4054/947, 4263/3776

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 4054/947, 4263/3776 i.e 1/3575872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4054/947, 4263/3776.

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 4054/947,4263/3776?

Given fractions are 4054/947,4263/3776

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 4054/947,4263/3776, numerators are 4054,4263

Denominators are 947,3776

The GCF of 4054,4263 is 1 .

LCM of 947,3776 is 3575872.

The greatest common factor of 4054/947,4263/3776 = [GCF of 4054,4263]/[LCM of 947,3776]= 1/3575872

Therefore, the GCF of 4054/947,4263/3776 is 1/3575872.

Greatest Common Factor of 4054,4263

To find the highest common factor of 4054,4263, we have to find the factors of both numbers and list the highest common factor.

The factors of 4054 are 1, 2, 2027, 4054

The factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263

The HCF of 4054,4263 is 1.

Lets's calculate GCF of 4054,4263

Greatest Common Factor (GCF) of 4054,4263 By Common Division

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

Greatest Common Factor of 4054,4263 By Matching Biggest Common Factor Method

Now, list down the factors of 4054

1,2,2027,4054

Now, list down the factors of 4263

1,3,7,21,29,49,87,147,203,609,1421,4263

Greatest Common Factor

We found the factors 4054,4263 . The biggest common factor number is the GCF number.
So the greatest common factor 4054,4263 is 1.

Lets's calculate LCM of 947,3776

Lowest Common Multiple of 947,3776 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3575872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3575872

Therefore, the GCF of Fractions 4054/947,4263/3776 is 1/3575872

Least Common Multiple of 947,3776 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 947,3776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,3776) = 1

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

GCF(947,3776) x common factors =1 x 1 = 1

LCM(947,3776) = ( 947 × 3776 ) / 1

LCM(947,3776) = 3575872 / 1

LCM(947,3776) = 3575872

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FAQs on GCF of Fractions of 4054/947, 4263/3776

1. What is the HCF of 4054,4263?

The HCF of 4054,4263 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 4054/947, 4263/3776?

Answer: GCF of Numerators as per given numbers 4054/947, 4263/3776 is

GCF of Numerators i.e. for 4054,4263 is 1

LCM of denominators i.e. for 947,3776 is 3575872.

Thus, GCF of Fractions is 1/3575872.Finally, GCF of Fractions for 4054/947, 4263/3776 is 1/3575872.