How to Find GCF of 4672/747, 6258/8065?

GCF of 4672/747, 6258/8065

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 4672/747, 6258/8065 i.e 2/6024555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4672/747, 6258/8065.

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 4672/747,6258/8065?

Given fractions are 4672/747,6258/8065

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 4672/747,6258/8065, numerators are 4672,6258

Denominators are 747,8065

The GCF of 4672,6258 is 2 .

LCM of 747,8065 is 6024555.

The greatest common factor of 4672/747,6258/8065 = [GCF of 4672,6258]/[LCM of 747,8065]= 2/6024555

Therefore, the GCF of 4672/747,6258/8065 is 2/6024555.

Greatest Common Factor of 4672,6258

To find the highest common factor of 4672,6258, we have to find the factors of both numbers and list the highest common factor.

The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672

The factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258

The HCF of 4672,6258 is 2.

Lets's calculate GCF of 4672,6258

Greatest Common Factor (GCF) of 4672,6258 By Common Division

2	4672, 6258
	2336, 3129

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4672,6258 By Matching Biggest Common Factor Method

Now, list down the factors of 4672

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Now, list down the factors of 6258

1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258

Greatest Common Factor

We found the factors 4672,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 4672,6258 is 2.

Lets's calculate LCM of 747,8065

Lowest Common Multiple of 747,8065 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6024555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6024555

Therefore, the GCF of Fractions 4672/747,6258/8065 is 2/6024555

Least Common Multiple of 747,8065 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 747,8065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,8065) = 1

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

GCF(747,8065) x common factors =1 x 1 = 1

LCM(747,8065) = ( 747 × 8065 ) / 1

LCM(747,8065) = 6024555 / 1

LCM(747,8065) = 6024555

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4672/747, 6258/8065

1. What is the HCF of 4672,6258?

The HCF of 4672,6258 is 2

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 4672/747, 6258/8065?

Answer: GCF of Numerators as per given numbers 4672/747, 6258/8065 is

GCF of Numerators i.e. for 4672,6258 is 2

LCM of denominators i.e. for 747,8065 is 6024555.

Thus, GCF of Fractions is 2/6024555.Finally, GCF of Fractions for 4672/747, 6258/8065 is 2/6024555.