How to Find GCF of 5599/882, 7646/1045?

GCF of 5599/882, 7646/1045

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 5599/882, 7646/1045 i.e 1/921690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5599/882, 7646/1045.

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 5599/882,7646/1045?

Given fractions are 5599/882,7646/1045

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 5599/882,7646/1045, numerators are 5599,7646

Denominators are 882,1045

The GCF of 5599,7646 is 1 .

LCM of 882,1045 is 921690.

The greatest common factor of 5599/882,7646/1045 = [GCF of 5599,7646]/[LCM of 882,1045]= 1/921690

Therefore, the GCF of 5599/882,7646/1045 is 1/921690.

Greatest Common Factor of 5599,7646

To find the highest common factor of 5599,7646, we have to find the factors of both numbers and list the highest common factor.

The factors of 5599 are 1, 11, 509, 5599

The factors of 7646 are 1, 2, 3823, 7646

The HCF of 5599,7646 is 1.

Lets's calculate GCF of 5599,7646

Greatest Common Factor (GCF) of 5599,7646 By Common Division

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

Greatest Common Factor of 5599,7646 By Matching Biggest Common Factor Method

Now, list down the factors of 5599

1,11,509,5599

Now, list down the factors of 7646

1,2,3823,7646

Greatest Common Factor

We found the factors 5599,7646 . The biggest common factor number is the GCF number.
So the greatest common factor 5599,7646 is 1.

Lets's calculate LCM of 882,1045

Lowest Common Multiple of 882,1045 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 921690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/921690

Therefore, the GCF of Fractions 5599/882,7646/1045 is 1/921690

Least Common Multiple of 882,1045 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 882,1045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,1045) = 1

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

GCF(882,1045) x common factors =1 x 1 = 1

LCM(882,1045) = ( 882 × 1045 ) / 1

LCM(882,1045) = 921690 / 1

LCM(882,1045) = 921690

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FAQs on GCF of Fractions of 5599/882, 7646/1045

1. What is the HCF of 5599,7646?

The HCF of 5599,7646 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 5599/882, 7646/1045?

Answer: GCF of Numerators as per given numbers 5599/882, 7646/1045 is

GCF of Numerators i.e. for 5599,7646 is 1

LCM of denominators i.e. for 882,1045 is 921690.

Thus, GCF of Fractions is 1/921690.Finally, GCF of Fractions for 5599/882, 7646/1045 is 1/921690.