GCF of 8739/248, 5688/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8739/248, 5688/634 i.e 9/78616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8739/248, 5688/634.
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 8739/248,5688/634?
Given fractions are 8739/248,5688/634
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 8739/248,5688/634, numerators are 8739,5688
Denominators are 248,634
The GCF of 8739,5688 is 9 .
LCM of 248,634 is 78616.
The greatest common factor of 8739/248,5688/634 = [GCF of 8739,5688]/[LCM of 248,634]= 9/78616
Therefore, the GCF of 8739/248,5688/634 is 9/78616.
To find the highest common factor of 8739,5688, we have to find the factors of both numbers and list the highest common factor.
The factors of 8739 are 1, 3, 9, 971, 2913, 8739
The factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
The HCF of 8739,5688 is 9.
Lets's calculate GCF of 8739,5688
| 3 | 8739, 5688 |
| 3 | 2913, 1896 |
| 971, 632 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8739,5688 By Matching Biggest Common Factor Method
Now, list down the factors of 8739
:1,3,9,971,2913,8739
Now, list down the factors of 5688
:1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Greatest Common Factor
We found the factors 8739,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 8739,5688 is 9.
Lets's calculate LCM of 248,634
| 2 | 248, 634 |
| 124, 317 |
∴ So the LCM of the given numbers is 2 x 124 x 317 = 78616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/78616
Therefore, the GCF of Fractions 8739/248,5688/634 is 9/78616
Least Common Multiple of 248,634 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 248,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(248,634) x common factors =2 x 1 = 2
LCM(248,634) = ( 248 × 634 ) / 2
LCM(248,634) = 157232 / 2
LCM(248,634) = 78616
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FAQs on GCF of Fractions of 8739/248, 5688/634
1. What is the HCF of 8739,5688?
The HCF of 8739,5688 is 9
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 8739/248, 5688/634?
Answer: GCF of Numerators as per given numbers 8739/248, 5688/634 is
GCF of Numerators i.e. for 8739,5688 is 9
LCM of denominators i.e. for 248,634 is 78616.
Thus, GCF of Fractions is 9/78616.Finally, GCF of Fractions for 8739/248, 5688/634 is 9/78616.