How to Find GCF of 316/897, 7076/734?

GCF of 316/897, 7076/734

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 316/897, 7076/734 i.e 4/658398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 316/897, 7076/734.

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 316/897,7076/734?

Given fractions are 316/897,7076/734

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 316/897,7076/734, numerators are 316,7076

Denominators are 897,734

The GCF of 316,7076 is 4 .

LCM of 897,734 is 658398.

The greatest common factor of 316/897,7076/734 = [GCF of 316,7076]/[LCM of 897,734]= 4/658398

Therefore, the GCF of 316/897,7076/734 is 4/658398.

Greatest Common Factor of 316,7076

To find the highest common factor of 316,7076, we have to find the factors of both numbers and list the highest common factor.

The factors of 316 are 1, 2, 4, 79, 158, 316

The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076

The HCF of 316,7076 is 4.

Lets's calculate GCF of 316,7076

Greatest Common Factor (GCF) of 316,7076 By Common Division

2	316, 7076
2	158, 3538
	79, 1769

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

Greatest Common Factor of 316,7076 By Matching Biggest Common Factor Method

Now, list down the factors of 316

1,2,4,79,158,316

Now, list down the factors of 7076

1,2,4,29,58,61,116,122,244,1769,3538,7076

Greatest Common Factor

We found the factors 316,7076 . The biggest common factor number is the GCF number.
So the greatest common factor 316,7076 is 4.

Lets's calculate LCM of 897,734

Lowest Common Multiple of 897,734 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 658398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/658398

Therefore, the GCF of Fractions 316/897,7076/734 is 4/658398

Least Common Multiple of 897,734 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 897,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,734) = 1

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

GCF(897,734) x common factors =1 x 1 = 1

LCM(897,734) = ( 897 × 734 ) / 1

LCM(897,734) = 658398 / 1

LCM(897,734) = 658398

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 316/897, 7076/734

1. What is the HCF of 316,7076?

The HCF of 316,7076 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 316/897, 7076/734?

Answer: GCF of Numerators as per given numbers 316/897, 7076/734 is

GCF of Numerators i.e. for 316,7076 is 4

LCM of denominators i.e. for 897,734 is 658398.

Thus, GCF of Fractions is 4/658398.Finally, GCF of Fractions for 316/897, 7076/734 is 4/658398.