How to Find GCF of 468/202, 340/738?

GCF of 468/202, 340/738

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 468/202, 340/738 i.e 4/74538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/202, 340/738.

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 468/202,340/738?

Given fractions are 468/202,340/738

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 468/202,340/738, numerators are 468,340

Denominators are 202,738

The GCF of 468,340 is 4 .

LCM of 202,738 is 74538.

The greatest common factor of 468/202,340/738 = [GCF of 468,340]/[LCM of 202,738]= 4/74538

Therefore, the GCF of 468/202,340/738 is 4/74538.

Greatest Common Factor of 468,340

To find the highest common factor of 468,340, we have to find the factors of both numbers and list the highest common factor.

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The HCF of 468,340 is 4.

Lets's calculate GCF of 468,340

Greatest Common Factor (GCF) of 468,340 By Common Division

2	468, 340
2	234, 170
	117, 85

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

Greatest Common Factor of 468,340 By Matching Biggest Common Factor Method

Now, list down the factors of 468

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Now, list down the factors of 340

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 468,340 . The biggest common factor number is the GCF number.
So the greatest common factor 468,340 is 4.

Lets's calculate LCM of 202,738

Lowest Common Multiple of 202,738 using Common Division

2	202, 738
	101, 369

∴ So the LCM of the given numbers is 2 x 101 x 369 = 74538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/74538

Therefore, the GCF of Fractions 468/202,340/738 is 4/74538

Least Common Multiple of 202,738 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 202,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,738) = 2

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

GCF(202,738) x common factors =2 x 1 = 2

LCM(202,738) = ( 202 × 738 ) / 2

LCM(202,738) = 149076 / 2

LCM(202,738) = 74538

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FAQs on GCF of Fractions of 468/202, 340/738

1. What is the HCF of 468,340?

The HCF of 468,340 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 468/202, 340/738?

Answer: GCF of Numerators as per given numbers 468/202, 340/738 is

GCF of Numerators i.e. for 468,340 is 4

LCM of denominators i.e. for 202,738 is 74538.

Thus, GCF of Fractions is 4/74538.Finally, GCF of Fractions for 468/202, 340/738 is 4/74538.