GCF of 8536/870, 2944/1044
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8536/870, 2944/1044 i.e 8/5220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8536/870, 2944/1044.
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 8536/870,2944/1044?
Given fractions are 8536/870,2944/1044
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 8536/870,2944/1044, numerators are 8536,2944
Denominators are 870,1044
The GCF of 8536,2944 is 8 .
LCM of 870,1044 is 5220.
The greatest common factor of 8536/870,2944/1044 = [GCF of 8536,2944]/[LCM of 870,1044]= 8/5220
Therefore, the GCF of 8536/870,2944/1044 is 8/5220.
To find the highest common factor of 8536,2944, we have to find the factors of both numbers and list the highest common factor.
The factors of 8536 are 1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536
The factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944
The HCF of 8536,2944 is 8.
Lets's calculate GCF of 8536,2944
| 2 | 8536, 2944 |
| 2 | 4268, 1472 |
| 2 | 2134, 736 |
| 1067, 368 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8536,2944 By Matching Biggest Common Factor Method
Now, list down the factors of 8536
:1,2,4,8,11,22,44,88,97,194,388,776,1067,2134,4268,8536
Now, list down the factors of 2944
:1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944
Greatest Common Factor
We found the factors 8536,2944 . The biggest common factor number is the GCF number.
So the greatest common factor 8536,2944 is 8.
Lets's calculate LCM of 870,1044
| 2 | 870, 1044 |
| 3 | 435, 522 |
| 29 | 145, 174 |
| 5, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 6 = 5220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5220
Therefore, the GCF of Fractions 8536/870,2944/1044 is 8/5220
Least Common Multiple of 870,1044 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 870,1044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,1044) = 174
common factors(in case of two or more numbers have common factors) = 1
GCF(870,1044) x common factors =174 x 1 = 174
LCM(870,1044) = ( 870 × 1044 ) / 174
LCM(870,1044) = 908280 / 174
LCM(870,1044) = 5220
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FAQs on GCF of Fractions of 8536/870, 2944/1044
1. What is the HCF of 8536,2944?
The HCF of 8536,2944 is 8
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 8536/870, 2944/1044?
Answer: GCF of Numerators as per given numbers 8536/870, 2944/1044 is
GCF of Numerators i.e. for 8536,2944 is 8
LCM of denominators i.e. for 870,1044 is 5220.
Thus, GCF of Fractions is 8/5220.Finally, GCF of Fractions for 8536/870, 2944/1044 is 8/5220.