How to Find GCF of 3674/100, 6754/4624?

GCF of 3674/100, 6754/4624

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 3674/100, 6754/4624 i.e 22/115600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3674/100, 6754/4624.

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 3674/100,6754/4624?

Given fractions are 3674/100,6754/4624

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 3674/100,6754/4624, numerators are 3674,6754

Denominators are 100,4624

The GCF of 3674,6754 is 22 .

LCM of 100,4624 is 115600.

The greatest common factor of 3674/100,6754/4624 = [GCF of 3674,6754]/[LCM of 100,4624]= 22/115600

Therefore, the GCF of 3674/100,6754/4624 is 22/115600.

Greatest Common Factor of 3674,6754

To find the highest common factor of 3674,6754, we have to find the factors of both numbers and list the highest common factor.

The factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674

The factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754

The HCF of 3674,6754 is 22.

Lets's calculate GCF of 3674,6754

Greatest Common Factor (GCF) of 3674,6754 By Common Division

2	3674, 6754
11	1837, 3377
	167, 307

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 3674,6754 By Matching Biggest Common Factor Method

Now, list down the factors of 3674

1,2,11,22,167,334,1837,3674

Now, list down the factors of 6754

1,2,11,22,307,614,3377,6754

Greatest Common Factor

We found the factors 3674,6754 . The biggest common factor number is the GCF number.
So the greatest common factor 3674,6754 is 22.

Lets's calculate LCM of 100,4624

Lowest Common Multiple of 100,4624 using Common Division

2	100, 4624
2	50, 2312
	25, 1156

∴ So the LCM of the given numbers is 2 x 2 x 25 x 1156 = 115600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/115600

Therefore, the GCF of Fractions 3674/100,6754/4624 is 22/115600

Least Common Multiple of 100,4624 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 100,4624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,4624) = 4

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

GCF(100,4624) x common factors =4 x 1 = 4

LCM(100,4624) = ( 100 × 4624 ) / 4

LCM(100,4624) = 462400 / 4

LCM(100,4624) = 115600

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FAQs on GCF of Fractions of 3674/100, 6754/4624

1. What is the HCF of 3674,6754?

The HCF of 3674,6754 is 22

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 3674/100, 6754/4624?

Answer: GCF of Numerators as per given numbers 3674/100, 6754/4624 is

GCF of Numerators i.e. for 3674,6754 is 22

LCM of denominators i.e. for 100,4624 is 115600.

Thus, GCF of Fractions is 22/115600.Finally, GCF of Fractions for 3674/100, 6754/4624 is 22/115600.