GCF of 7989/584, 3524/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7989/584, 3524/107 i.e 1/62488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7989/584, 3524/107.
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 7989/584,3524/107?
Given fractions are 7989/584,3524/107
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 7989/584,3524/107, numerators are 7989,3524
Denominators are 584,107
The GCF of 7989,3524 is 1 .
LCM of 584,107 is 62488.
The greatest common factor of 7989/584,3524/107 = [GCF of 7989,3524]/[LCM of 584,107]= 1/62488
Therefore, the GCF of 7989/584,3524/107 is 1/62488.
To find the highest common factor of 7989,3524, we have to find the factors of both numbers and list the highest common factor.
The factors of 7989 are 1, 3, 2663, 7989
The factors of 3524 are 1, 2, 4, 881, 1762, 3524
The HCF of 7989,3524 is 1.
Lets's calculate GCF of 7989,3524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7989,3524 By Matching Biggest Common Factor Method
Now, list down the factors of 7989
:1,3,2663,7989
Now, list down the factors of 3524
:1,2,4,881,1762,3524
Greatest Common Factor
We found the factors 7989,3524 . The biggest common factor number is the GCF number.
So the greatest common factor 7989,3524 is 1.
Lets's calculate LCM of 584,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 62488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62488
Therefore, the GCF of Fractions 7989/584,3524/107 is 1/62488
Least Common Multiple of 584,107 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 584,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,107) x common factors =1 x 1 = 1
LCM(584,107) = ( 584 × 107 ) / 1
LCM(584,107) = 62488 / 1
LCM(584,107) = 62488
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FAQs on GCF of Fractions of 7989/584, 3524/107
1. What is the HCF of 7989,3524?
The HCF of 7989,3524 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 7989/584, 3524/107?
Answer: GCF of Numerators as per given numbers 7989/584, 3524/107 is
GCF of Numerators i.e. for 7989,3524 is 1
LCM of denominators i.e. for 584,107 is 62488.
Thus, GCF of Fractions is 1/62488.Finally, GCF of Fractions for 7989/584, 3524/107 is 1/62488.