How to Find GCF of 5023/896, 7778/9620?

GCF of 5023/896, 7778/9620

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 5023/896, 7778/9620 i.e 1/2154880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5023/896, 7778/9620.

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 5023/896,7778/9620?

Given fractions are 5023/896,7778/9620

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 5023/896,7778/9620, numerators are 5023,7778

Denominators are 896,9620

The GCF of 5023,7778 is 1 .

LCM of 896,9620 is 2154880.

The greatest common factor of 5023/896,7778/9620 = [GCF of 5023,7778]/[LCM of 896,9620]= 1/2154880

Therefore, the GCF of 5023/896,7778/9620 is 1/2154880.

Greatest Common Factor of 5023,7778

To find the highest common factor of 5023,7778, we have to find the factors of both numbers and list the highest common factor.

The factors of 5023 are 1, 5023

The factors of 7778 are 1, 2, 3889, 7778

The HCF of 5023,7778 is 1.

Lets's calculate GCF of 5023,7778

Greatest Common Factor (GCF) of 5023,7778 By Common Division

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

Greatest Common Factor of 5023,7778 By Matching Biggest Common Factor Method

Now, list down the factors of 5023

1,5023

Now, list down the factors of 7778

1,2,3889,7778

Greatest Common Factor

We found the factors 5023,7778 . The biggest common factor number is the GCF number.
So the greatest common factor 5023,7778 is 1.

Lets's calculate LCM of 896,9620

Lowest Common Multiple of 896,9620 using Common Division

2	896, 9620
2	448, 4810
	224, 2405

∴ So the LCM of the given numbers is 2 x 2 x 224 x 2405 = 2154880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2154880

Therefore, the GCF of Fractions 5023/896,7778/9620 is 1/2154880

Least Common Multiple of 896,9620 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 896,9620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,9620) = 4

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

GCF(896,9620) x common factors =4 x 1 = 4

LCM(896,9620) = ( 896 × 9620 ) / 4

LCM(896,9620) = 8619520 / 4

LCM(896,9620) = 2154880

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FAQs on GCF of Fractions of 5023/896, 7778/9620

1. What is the HCF of 5023,7778?

The HCF of 5023,7778 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 5023/896, 7778/9620?

Answer: GCF of Numerators as per given numbers 5023/896, 7778/9620 is

GCF of Numerators i.e. for 5023,7778 is 1

LCM of denominators i.e. for 896,9620 is 2154880.

Thus, GCF of Fractions is 1/2154880.Finally, GCF of Fractions for 5023/896, 7778/9620 is 1/2154880.