GCF of 7421/132, 5780/9299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7421/132, 5780/9299 i.e 1/1227468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7421/132, 5780/9299.
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 7421/132,5780/9299?
Given fractions are 7421/132,5780/9299
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 7421/132,5780/9299, numerators are 7421,5780
Denominators are 132,9299
The GCF of 7421,5780 is 1 .
LCM of 132,9299 is 1227468.
The greatest common factor of 7421/132,5780/9299 = [GCF of 7421,5780]/[LCM of 132,9299]= 1/1227468
Therefore, the GCF of 7421/132,5780/9299 is 1/1227468.
To find the highest common factor of 7421,5780, we have to find the factors of both numbers and list the highest common factor.
The factors of 7421 are 1, 41, 181, 7421
The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
The HCF of 7421,5780 is 1.
Lets's calculate GCF of 7421,5780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7421,5780 By Matching Biggest Common Factor Method
Now, list down the factors of 7421
:1,41,181,7421
Now, list down the factors of 5780
:1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Greatest Common Factor
We found the factors 7421,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 7421,5780 is 1.
Lets's calculate LCM of 132,9299
Given numbers has no common factors except 1. So, there LCM is their product i.e 1227468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1227468
Therefore, the GCF of Fractions 7421/132,5780/9299 is 1/1227468
Least Common Multiple of 132,9299 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 132,9299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,9299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,9299) x common factors =1 x 1 = 1
LCM(132,9299) = ( 132 × 9299 ) / 1
LCM(132,9299) = 1227468 / 1
LCM(132,9299) = 1227468
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FAQs on GCF of Fractions of 7421/132, 5780/9299
1. What is the HCF of 7421,5780?
The HCF of 7421,5780 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 7421/132, 5780/9299?
Answer: GCF of Numerators as per given numbers 7421/132, 5780/9299 is
GCF of Numerators i.e. for 7421,5780 is 1
LCM of denominators i.e. for 132,9299 is 1227468.
Thus, GCF of Fractions is 1/1227468.Finally, GCF of Fractions for 7421/132, 5780/9299 is 1/1227468.