GCF of 8704/760, 4338/2091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8704/760, 4338/2091 i.e 2/1589160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8704/760, 4338/2091.
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 8704/760,4338/2091?
Given fractions are 8704/760,4338/2091
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 8704/760,4338/2091, numerators are 8704,4338
Denominators are 760,2091
The GCF of 8704,4338 is 2 .
LCM of 760,2091 is 1589160.
The greatest common factor of 8704/760,4338/2091 = [GCF of 8704,4338]/[LCM of 760,2091]= 2/1589160
Therefore, the GCF of 8704/760,4338/2091 is 2/1589160.
To find the highest common factor of 8704,4338, we have to find the factors of both numbers and list the highest common factor.
The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704
The factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338
The HCF of 8704,4338 is 2.
Lets's calculate GCF of 8704,4338
| 2 | 8704, 4338 |
| 4352, 2169 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8704,4338 By Matching Biggest Common Factor Method
Now, list down the factors of 8704
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Now, list down the factors of 4338
:1,2,3,6,9,18,241,482,723,1446,2169,4338
Greatest Common Factor
We found the factors 8704,4338 . The biggest common factor number is the GCF number.
So the greatest common factor 8704,4338 is 2.
Lets's calculate LCM of 760,2091
Given numbers has no common factors except 1. So, there LCM is their product i.e 1589160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1589160
Therefore, the GCF of Fractions 8704/760,4338/2091 is 2/1589160
Least Common Multiple of 760,2091 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 760,2091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,2091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,2091) x common factors =1 x 1 = 1
LCM(760,2091) = ( 760 × 2091 ) / 1
LCM(760,2091) = 1589160 / 1
LCM(760,2091) = 1589160
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FAQs on GCF of Fractions of 8704/760, 4338/2091
1. What is the HCF of 8704,4338?
The HCF of 8704,4338 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 8704/760, 4338/2091?
Answer: GCF of Numerators as per given numbers 8704/760, 4338/2091 is
GCF of Numerators i.e. for 8704,4338 is 2
LCM of denominators i.e. for 760,2091 is 1589160.
Thus, GCF of Fractions is 2/1589160.Finally, GCF of Fractions for 8704/760, 4338/2091 is 2/1589160.