How to Find GCF of 4624/314, 9667/3749?

GCF of 4624/314, 9667/3749

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 4624/314, 9667/3749 i.e 1/1177186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4624/314, 9667/3749.

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 4624/314,9667/3749?

Given fractions are 4624/314,9667/3749

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 4624/314,9667/3749, numerators are 4624,9667

Denominators are 314,3749

The GCF of 4624,9667 is 1 .

LCM of 314,3749 is 1177186.

The greatest common factor of 4624/314,9667/3749 = [GCF of 4624,9667]/[LCM of 314,3749]= 1/1177186

Therefore, the GCF of 4624/314,9667/3749 is 1/1177186.

Greatest Common Factor of 4624,9667

To find the highest common factor of 4624,9667, we have to find the factors of both numbers and list the highest common factor.

The factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624

The factors of 9667 are 1, 7, 1381, 9667

The HCF of 4624,9667 is 1.

Lets's calculate GCF of 4624,9667

Greatest Common Factor (GCF) of 4624,9667 By Common Division

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

Greatest Common Factor of 4624,9667 By Matching Biggest Common Factor Method

Now, list down the factors of 4624

1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624

Now, list down the factors of 9667

1,7,1381,9667

Greatest Common Factor

We found the factors 4624,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 4624,9667 is 1.

Lets's calculate LCM of 314,3749

Lowest Common Multiple of 314,3749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1177186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1177186

Therefore, the GCF of Fractions 4624/314,9667/3749 is 1/1177186

Least Common Multiple of 314,3749 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 314,3749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,3749) = 1

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

GCF(314,3749) x common factors =1 x 1 = 1

LCM(314,3749) = ( 314 × 3749 ) / 1

LCM(314,3749) = 1177186 / 1

LCM(314,3749) = 1177186

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4624/314, 9667/3749

1. What is the HCF of 4624,9667?

The HCF of 4624,9667 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 4624/314, 9667/3749?

Answer: GCF of Numerators as per given numbers 4624/314, 9667/3749 is

GCF of Numerators i.e. for 4624,9667 is 1

LCM of denominators i.e. for 314,3749 is 1177186.

Thus, GCF of Fractions is 1/1177186.Finally, GCF of Fractions for 4624/314, 9667/3749 is 1/1177186.