GCF of 8837/528, 7665/8582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8837/528, 7665/8582 i.e 1/2265648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8837/528, 7665/8582.
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 8837/528,7665/8582?
Given fractions are 8837/528,7665/8582
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 8837/528,7665/8582, numerators are 8837,7665
Denominators are 528,8582
The GCF of 8837,7665 is 1 .
LCM of 528,8582 is 2265648.
The greatest common factor of 8837/528,7665/8582 = [GCF of 8837,7665]/[LCM of 528,8582]= 1/2265648
Therefore, the GCF of 8837/528,7665/8582 is 1/2265648.
To find the highest common factor of 8837,7665, we have to find the factors of both numbers and list the highest common factor.
The factors of 8837 are 1, 8837
The factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665
The HCF of 8837,7665 is 1.
Lets's calculate GCF of 8837,7665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8837,7665 By Matching Biggest Common Factor Method
Now, list down the factors of 8837
:1,8837
Now, list down the factors of 7665
:1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Greatest Common Factor
We found the factors 8837,7665 . The biggest common factor number is the GCF number.
So the greatest common factor 8837,7665 is 1.
Lets's calculate LCM of 528,8582
| 2 | 528, 8582 |
| 264, 4291 |
∴ So the LCM of the given numbers is 2 x 264 x 4291 = 2265648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2265648
Therefore, the GCF of Fractions 8837/528,7665/8582 is 1/2265648
Least Common Multiple of 528,8582 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 528,8582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,8582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(528,8582) x common factors =2 x 1 = 2
LCM(528,8582) = ( 528 × 8582 ) / 2
LCM(528,8582) = 4531296 / 2
LCM(528,8582) = 2265648
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FAQs on GCF of Fractions of 8837/528, 7665/8582
1. What is the HCF of 8837,7665?
The HCF of 8837,7665 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 8837/528, 7665/8582?
Answer: GCF of Numerators as per given numbers 8837/528, 7665/8582 is
GCF of Numerators i.e. for 8837,7665 is 1
LCM of denominators i.e. for 528,8582 is 2265648.
Thus, GCF of Fractions is 1/2265648.Finally, GCF of Fractions for 8837/528, 7665/8582 is 1/2265648.