GCF of 8708/564, 8418/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8708/564, 8418/688 i.e 2/97008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8708/564, 8418/688.
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 8708/564,8418/688?
Given fractions are 8708/564,8418/688
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 8708/564,8418/688, numerators are 8708,8418
Denominators are 564,688
The GCF of 8708,8418 is 2 .
LCM of 564,688 is 97008.
The greatest common factor of 8708/564,8418/688 = [GCF of 8708,8418]/[LCM of 564,688]= 2/97008
Therefore, the GCF of 8708/564,8418/688 is 2/97008.
To find the highest common factor of 8708,8418, we have to find the factors of both numbers and list the highest common factor.
The factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708
The factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418
The HCF of 8708,8418 is 2.
Lets's calculate GCF of 8708,8418
| 2 | 8708, 8418 |
| 4354, 4209 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8708,8418 By Matching Biggest Common Factor Method
Now, list down the factors of 8708
:1,2,4,7,14,28,311,622,1244,2177,4354,8708
Now, list down the factors of 8418
:1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Greatest Common Factor
We found the factors 8708,8418 . The biggest common factor number is the GCF number.
So the greatest common factor 8708,8418 is 2.
Lets's calculate LCM of 564,688
| 2 | 564, 688 |
| 2 | 282, 344 |
| 141, 172 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 172 = 97008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97008
Therefore, the GCF of Fractions 8708/564,8418/688 is 2/97008
Least Common Multiple of 564,688 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 564,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,688) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(564,688) x common factors =4 x 1 = 4
LCM(564,688) = ( 564 × 688 ) / 4
LCM(564,688) = 388032 / 4
LCM(564,688) = 97008
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FAQs on GCF of Fractions of 8708/564, 8418/688
1. What is the HCF of 8708,8418?
The HCF of 8708,8418 is 2
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 8708/564, 8418/688?
Answer: GCF of Numerators as per given numbers 8708/564, 8418/688 is
GCF of Numerators i.e. for 8708,8418 is 2
LCM of denominators i.e. for 564,688 is 97008.
Thus, GCF of Fractions is 2/97008.Finally, GCF of Fractions for 8708/564, 8418/688 is 2/97008.