How to Find GCF of 1168/813, 6716/842?

GCF of 1168/813, 6716/842

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 1168/813, 6716/842 i.e 292/684546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1168/813, 6716/842.

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 1168/813,6716/842?

Given fractions are 1168/813,6716/842

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 1168/813,6716/842, numerators are 1168,6716

Denominators are 813,842

The GCF of 1168,6716 is 292 .

LCM of 813,842 is 684546.

The greatest common factor of 1168/813,6716/842 = [GCF of 1168,6716]/[LCM of 813,842]= 292/684546

Therefore, the GCF of 1168/813,6716/842 is 292/684546.

Greatest Common Factor of 1168,6716

To find the highest common factor of 1168,6716, we have to find the factors of both numbers and list the highest common factor.

The factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168

The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716

The HCF of 1168,6716 is 292.

Lets's calculate GCF of 1168,6716

Greatest Common Factor (GCF) of 1168,6716 By Common Division

2	1168, 6716
2	584, 3358
73	292, 1679
	4, 23

∴ So the GCF of the given numbers is 2 x 2 x 73 = 292

Greatest Common Factor of 1168,6716 By Matching Biggest Common Factor Method

Now, list down the factors of 1168

1,2,4,8,16,73,146,292,584,1168

Now, list down the factors of 6716

1,2,4,23,46,73,92,146,292,1679,3358,6716

Greatest Common Factor

We found the factors 1168,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 1168,6716 is 292.

Lets's calculate LCM of 813,842

Lowest Common Multiple of 813,842 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 684546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 292/684546

Therefore, the GCF of Fractions 1168/813,6716/842 is 292/684546

Least Common Multiple of 813,842 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 813,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,842) = 1

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

GCF(813,842) x common factors =1 x 1 = 1

LCM(813,842) = ( 813 × 842 ) / 1

LCM(813,842) = 684546 / 1

LCM(813,842) = 684546

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FAQs on GCF of Fractions of 1168/813, 6716/842

1. What is the HCF of 1168,6716?

The HCF of 1168,6716 is 292

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 1168/813, 6716/842?

Answer: GCF of Numerators as per given numbers 1168/813, 6716/842 is

GCF of Numerators i.e. for 1168,6716 is 292

LCM of denominators i.e. for 813,842 is 684546.

Thus, GCF of Fractions is 292/684546.Finally, GCF of Fractions for 1168/813, 6716/842 is 292/684546.