How to Find GCF of 348/670, 680/872?

GCF of 348/670, 680/872

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 348/670, 680/872 i.e 4/292120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/670, 680/872.

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 348/670,680/872?

Given fractions are 348/670,680/872

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 348/670,680/872, numerators are 348,680

Denominators are 670,872

The GCF of 348,680 is 4 .

LCM of 670,872 is 292120.

The greatest common factor of 348/670,680/872 = [GCF of 348,680]/[LCM of 670,872]= 4/292120

Therefore, the GCF of 348/670,680/872 is 4/292120.

Greatest Common Factor of 348,680

To find the highest common factor of 348,680, we have to find the factors of both numbers and list the highest common factor.

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

The HCF of 348,680 is 4.

Lets's calculate GCF of 348,680

Greatest Common Factor (GCF) of 348,680 By Common Division

2	348, 680
2	174, 340
	87, 170

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

Greatest Common Factor of 348,680 By Matching Biggest Common Factor Method

Now, list down the factors of 348

1,2,3,4,6,12,29,58,87,116,174,348

Now, list down the factors of 680

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 348,680 . The biggest common factor number is the GCF number.
So the greatest common factor 348,680 is 4.

Lets's calculate LCM of 670,872

Lowest Common Multiple of 670,872 using Common Division

2	670, 872
	335, 436

∴ So the LCM of the given numbers is 2 x 335 x 436 = 292120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/292120

Therefore, the GCF of Fractions 348/670,680/872 is 4/292120

Least Common Multiple of 670,872 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 670,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,872) = 2

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

GCF(670,872) x common factors =2 x 1 = 2

LCM(670,872) = ( 670 × 872 ) / 2

LCM(670,872) = 584240 / 2

LCM(670,872) = 292120

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FAQs on GCF of Fractions of 348/670, 680/872

1. What is the HCF of 348,680?

The HCF of 348,680 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 348/670, 680/872?

Answer: GCF of Numerators as per given numbers 348/670, 680/872 is

GCF of Numerators i.e. for 348,680 is 4

LCM of denominators i.e. for 670,872 is 292120.

Thus, GCF of Fractions is 4/292120.Finally, GCF of Fractions for 348/670, 680/872 is 4/292120.