How to Find GCF of 8768/421, 1418/5986?

GCF of 8768/421, 1418/5986

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 8768/421, 1418/5986 i.e 2/2520106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8768/421, 1418/5986.

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 8768/421,1418/5986?

Given fractions are 8768/421,1418/5986

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 8768/421,1418/5986, numerators are 8768,1418

Denominators are 421,5986

The GCF of 8768,1418 is 2 .

LCM of 421,5986 is 2520106.

The greatest common factor of 8768/421,1418/5986 = [GCF of 8768,1418]/[LCM of 421,5986]= 2/2520106

Therefore, the GCF of 8768/421,1418/5986 is 2/2520106.

Greatest Common Factor of 8768,1418

To find the highest common factor of 8768,1418, we have to find the factors of both numbers and list the highest common factor.

The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768

The factors of 1418 are 1, 2, 709, 1418

The HCF of 8768,1418 is 2.

Lets's calculate GCF of 8768,1418

Greatest Common Factor (GCF) of 8768,1418 By Common Division

2	8768, 1418
	4384, 709

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

Greatest Common Factor of 8768,1418 By Matching Biggest Common Factor Method

Now, list down the factors of 8768

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Now, list down the factors of 1418

1,2,709,1418

Greatest Common Factor

We found the factors 8768,1418 . The biggest common factor number is the GCF number.
So the greatest common factor 8768,1418 is 2.

Lets's calculate LCM of 421,5986

Lowest Common Multiple of 421,5986 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2520106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2520106

Therefore, the GCF of Fractions 8768/421,1418/5986 is 2/2520106

Least Common Multiple of 421,5986 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 421,5986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,5986) = 1

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

GCF(421,5986) x common factors =1 x 1 = 1

LCM(421,5986) = ( 421 × 5986 ) / 1

LCM(421,5986) = 2520106 / 1

LCM(421,5986) = 2520106

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FAQs on GCF of Fractions of 8768/421, 1418/5986

1. What is the HCF of 8768,1418?

The HCF of 8768,1418 is 2

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 8768/421, 1418/5986?

Answer: GCF of Numerators as per given numbers 8768/421, 1418/5986 is

GCF of Numerators i.e. for 8768,1418 is 2

LCM of denominators i.e. for 421,5986 is 2520106.

Thus, GCF of Fractions is 2/2520106.Finally, GCF of Fractions for 8768/421, 1418/5986 is 2/2520106.