How to Find GCF of 6553/788, 9073/5680?

GCF of 6553/788, 9073/5680

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 6553/788, 9073/5680 i.e 1/1118960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6553/788, 9073/5680.

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 6553/788,9073/5680?

Given fractions are 6553/788,9073/5680

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 6553/788,9073/5680, numerators are 6553,9073

Denominators are 788,5680

The GCF of 6553,9073 is 1 .

LCM of 788,5680 is 1118960.

The greatest common factor of 6553/788,9073/5680 = [GCF of 6553,9073]/[LCM of 788,5680]= 1/1118960

Therefore, the GCF of 6553/788,9073/5680 is 1/1118960.

Greatest Common Factor of 6553,9073

To find the highest common factor of 6553,9073, we have to find the factors of both numbers and list the highest common factor.

The factors of 6553 are 1, 6553

The factors of 9073 are 1, 43, 211, 9073

The HCF of 6553,9073 is 1.

Lets's calculate GCF of 6553,9073

Greatest Common Factor (GCF) of 6553,9073 By Common Division

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

Greatest Common Factor of 6553,9073 By Matching Biggest Common Factor Method

Now, list down the factors of 6553

1,6553

Now, list down the factors of 9073

1,43,211,9073

Greatest Common Factor

We found the factors 6553,9073 . The biggest common factor number is the GCF number.
So the greatest common factor 6553,9073 is 1.

Lets's calculate LCM of 788,5680

Lowest Common Multiple of 788,5680 using Common Division

2	788, 5680
2	394, 2840
	197, 1420

∴ So the LCM of the given numbers is 2 x 2 x 197 x 1420 = 1118960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1118960

Therefore, the GCF of Fractions 6553/788,9073/5680 is 1/1118960

Least Common Multiple of 788,5680 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 788,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,5680) = 4

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

GCF(788,5680) x common factors =4 x 1 = 4

LCM(788,5680) = ( 788 × 5680 ) / 4

LCM(788,5680) = 4475840 / 4

LCM(788,5680) = 1118960

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FAQs on GCF of Fractions of 6553/788, 9073/5680

1. What is the HCF of 6553,9073?

The HCF of 6553,9073 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 6553/788, 9073/5680?

Answer: GCF of Numerators as per given numbers 6553/788, 9073/5680 is

GCF of Numerators i.e. for 6553,9073 is 1

LCM of denominators i.e. for 788,5680 is 1118960.

Thus, GCF of Fractions is 1/1118960.Finally, GCF of Fractions for 6553/788, 9073/5680 is 1/1118960.