GCF of 8516/548, 1564/2635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8516/548, 1564/2635 i.e 4/1443980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8516/548, 1564/2635.
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 8516/548,1564/2635?
Given fractions are 8516/548,1564/2635
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 8516/548,1564/2635, numerators are 8516,1564
Denominators are 548,2635
The GCF of 8516,1564 is 4 .
LCM of 548,2635 is 1443980.
The greatest common factor of 8516/548,1564/2635 = [GCF of 8516,1564]/[LCM of 548,2635]= 4/1443980
Therefore, the GCF of 8516/548,1564/2635 is 4/1443980.
To find the highest common factor of 8516,1564, we have to find the factors of both numbers and list the highest common factor.
The factors of 8516 are 1, 2, 4, 2129, 4258, 8516
The factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564
The HCF of 8516,1564 is 4.
Lets's calculate GCF of 8516,1564
| 2 | 8516, 1564 |
| 2 | 4258, 782 |
| 2129, 391 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8516,1564 By Matching Biggest Common Factor Method
Now, list down the factors of 8516
:1,2,4,2129,4258,8516
Now, list down the factors of 1564
:1,2,4,17,23,34,46,68,92,391,782,1564
Greatest Common Factor
We found the factors 8516,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 8516,1564 is 4.
Lets's calculate LCM of 548,2635
Given numbers has no common factors except 1. So, there LCM is their product i.e 1443980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1443980
Therefore, the GCF of Fractions 8516/548,1564/2635 is 4/1443980
Least Common Multiple of 548,2635 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 548,2635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,2635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,2635) x common factors =1 x 1 = 1
LCM(548,2635) = ( 548 × 2635 ) / 1
LCM(548,2635) = 1443980 / 1
LCM(548,2635) = 1443980
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FAQs on GCF of Fractions of 8516/548, 1564/2635
1. What is the HCF of 8516,1564?
The HCF of 8516,1564 is 4
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 8516/548, 1564/2635?
Answer: GCF of Numerators as per given numbers 8516/548, 1564/2635 is
GCF of Numerators i.e. for 8516,1564 is 4
LCM of denominators i.e. for 548,2635 is 1443980.
Thus, GCF of Fractions is 4/1443980.Finally, GCF of Fractions for 8516/548, 1564/2635 is 4/1443980.