How to Find GCF of 5503/814, 1670/6736?

GCF of 5503/814, 1670/6736

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 5503/814, 1670/6736 i.e 1/2741552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5503/814, 1670/6736.

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 5503/814,1670/6736?

Given fractions are 5503/814,1670/6736

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 5503/814,1670/6736, numerators are 5503,1670

Denominators are 814,6736

The GCF of 5503,1670 is 1 .

LCM of 814,6736 is 2741552.

The greatest common factor of 5503/814,1670/6736 = [GCF of 5503,1670]/[LCM of 814,6736]= 1/2741552

Therefore, the GCF of 5503/814,1670/6736 is 1/2741552.

Greatest Common Factor of 5503,1670

To find the highest common factor of 5503,1670, we have to find the factors of both numbers and list the highest common factor.

The factors of 5503 are 1, 5503

The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670

The HCF of 5503,1670 is 1.

Lets's calculate GCF of 5503,1670

Greatest Common Factor (GCF) of 5503,1670 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5503,1670 By Matching Biggest Common Factor Method

Now, list down the factors of 5503

1,5503

Now, list down the factors of 1670

1,2,5,10,167,334,835,1670

Greatest Common Factor

We found the factors 5503,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 5503,1670 is 1.

Lets's calculate LCM of 814,6736

Lowest Common Multiple of 814,6736 using Common Division

2	814, 6736
	407, 3368

∴ So the LCM of the given numbers is 2 x 407 x 3368 = 2741552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2741552

Therefore, the GCF of Fractions 5503/814,1670/6736 is 1/2741552

Least Common Multiple of 814,6736 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 814,6736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,6736) = 2

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

GCF(814,6736) x common factors =2 x 1 = 2

LCM(814,6736) = ( 814 × 6736 ) / 2

LCM(814,6736) = 5483104 / 2

LCM(814,6736) = 2741552

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FAQs on GCF of Fractions of 5503/814, 1670/6736

1. What is the HCF of 5503,1670?

The HCF of 5503,1670 is 1

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 5503/814, 1670/6736?

Answer: GCF of Numerators as per given numbers 5503/814, 1670/6736 is

GCF of Numerators i.e. for 5503,1670 is 1

LCM of denominators i.e. for 814,6736 is 2741552.

Thus, GCF of Fractions is 1/2741552.Finally, GCF of Fractions for 5503/814, 1670/6736 is 1/2741552.