GCF of 8865/837, 7525/1984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8865/837, 7525/1984 i.e 5/53568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8865/837, 7525/1984.
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 8865/837,7525/1984?
Given fractions are 8865/837,7525/1984
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 8865/837,7525/1984, numerators are 8865,7525
Denominators are 837,1984
The GCF of 8865,7525 is 5 .
LCM of 837,1984 is 53568.
The greatest common factor of 8865/837,7525/1984 = [GCF of 8865,7525]/[LCM of 837,1984]= 5/53568
Therefore, the GCF of 8865/837,7525/1984 is 5/53568.
To find the highest common factor of 8865,7525, we have to find the factors of both numbers and list the highest common factor.
The factors of 8865 are 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865
The factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
The HCF of 8865,7525 is 5.
Lets's calculate GCF of 8865,7525
| 5 | 8865, 7525 |
| 1773, 1505 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8865,7525 By Matching Biggest Common Factor Method
Now, list down the factors of 8865
:1,3,5,9,15,45,197,591,985,1773,2955,8865
Now, list down the factors of 7525
:1,5,7,25,35,43,175,215,301,1075,1505,7525
Greatest Common Factor
We found the factors 8865,7525 . The biggest common factor number is the GCF number.
So the greatest common factor 8865,7525 is 5.
Lets's calculate LCM of 837,1984
| 31 | 837, 1984 |
| 27, 64 |
∴ So the LCM of the given numbers is 31 x 27 x 64 = 53568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/53568
Therefore, the GCF of Fractions 8865/837,7525/1984 is 5/53568
Least Common Multiple of 837,1984 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 837,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,1984) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(837,1984) x common factors =31 x 1 = 31
LCM(837,1984) = ( 837 × 1984 ) / 31
LCM(837,1984) = 1660608 / 31
LCM(837,1984) = 53568
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FAQs on GCF of Fractions of 8865/837, 7525/1984
1. What is the HCF of 8865,7525?
The HCF of 8865,7525 is 5
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 8865/837, 7525/1984?
Answer: GCF of Numerators as per given numbers 8865/837, 7525/1984 is
GCF of Numerators i.e. for 8865,7525 is 5
LCM of denominators i.e. for 837,1984 is 53568.
Thus, GCF of Fractions is 5/53568.Finally, GCF of Fractions for 8865/837, 7525/1984 is 5/53568.