How to Find GCF of 3764/614, 3568/3262?

GCF of 3764/614, 3568/3262

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 3764/614, 3568/3262 i.e 4/1001434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3764/614, 3568/3262.

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 3764/614,3568/3262?

Given fractions are 3764/614,3568/3262

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 3764/614,3568/3262, numerators are 3764,3568

Denominators are 614,3262

The GCF of 3764,3568 is 4 .

LCM of 614,3262 is 1001434.

The greatest common factor of 3764/614,3568/3262 = [GCF of 3764,3568]/[LCM of 614,3262]= 4/1001434

Therefore, the GCF of 3764/614,3568/3262 is 4/1001434.

Greatest Common Factor of 3764,3568

To find the highest common factor of 3764,3568, we have to find the factors of both numbers and list the highest common factor.

The factors of 3764 are 1, 2, 4, 941, 1882, 3764

The factors of 3568 are 1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568

The HCF of 3764,3568 is 4.

Lets's calculate GCF of 3764,3568

Greatest Common Factor (GCF) of 3764,3568 By Common Division

2	3764, 3568
2	1882, 1784
	941, 892

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3764,3568 By Matching Biggest Common Factor Method

Now, list down the factors of 3764

1,2,4,941,1882,3764

Now, list down the factors of 3568

1,2,4,8,16,223,446,892,1784,3568

Greatest Common Factor

We found the factors 3764,3568 . The biggest common factor number is the GCF number.
So the greatest common factor 3764,3568 is 4.

Lets's calculate LCM of 614,3262

Lowest Common Multiple of 614,3262 using Common Division

2	614, 3262
	307, 1631

∴ So the LCM of the given numbers is 2 x 307 x 1631 = 1001434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1001434

Therefore, the GCF of Fractions 3764/614,3568/3262 is 4/1001434

Least Common Multiple of 614,3262 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 614,3262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,3262) = 2

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

GCF(614,3262) x common factors =2 x 1 = 2

LCM(614,3262) = ( 614 × 3262 ) / 2

LCM(614,3262) = 2002868 / 2

LCM(614,3262) = 1001434

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FAQs on GCF of Fractions of 3764/614, 3568/3262

1. What is the HCF of 3764,3568?

The HCF of 3764,3568 is 4

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 3764/614, 3568/3262?

Answer: GCF of Numerators as per given numbers 3764/614, 3568/3262 is

GCF of Numerators i.e. for 3764,3568 is 4

LCM of denominators i.e. for 614,3262 is 1001434.

Thus, GCF of Fractions is 4/1001434.Finally, GCF of Fractions for 3764/614, 3568/3262 is 4/1001434.