GCF of 8556/759, 8164/5646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8556/759, 8164/5646 i.e 4/1428438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8556/759, 8164/5646.
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 8556/759,8164/5646?
Given fractions are 8556/759,8164/5646
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 8556/759,8164/5646, numerators are 8556,8164
Denominators are 759,5646
The GCF of 8556,8164 is 4 .
LCM of 759,5646 is 1428438.
The greatest common factor of 8556/759,8164/5646 = [GCF of 8556,8164]/[LCM of 759,5646]= 4/1428438
Therefore, the GCF of 8556/759,8164/5646 is 4/1428438.
To find the highest common factor of 8556,8164, we have to find the factors of both numbers and list the highest common factor.
The factors of 8556 are 1, 2, 3, 4, 6, 12, 23, 31, 46, 62, 69, 92, 93, 124, 138, 186, 276, 372, 713, 1426, 2139, 2852, 4278, 8556
The factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164
The HCF of 8556,8164 is 4.
Lets's calculate GCF of 8556,8164
| 2 | 8556, 8164 |
| 2 | 4278, 4082 |
| 2139, 2041 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8556,8164 By Matching Biggest Common Factor Method
Now, list down the factors of 8556
:1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556
Now, list down the factors of 8164
:1,2,4,13,26,52,157,314,628,2041,4082,8164
Greatest Common Factor
We found the factors 8556,8164 . The biggest common factor number is the GCF number.
So the greatest common factor 8556,8164 is 4.
Lets's calculate LCM of 759,5646
| 3 | 759, 5646 |
| 253, 1882 |
∴ So the LCM of the given numbers is 3 x 253 x 1882 = 1428438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1428438
Therefore, the GCF of Fractions 8556/759,8164/5646 is 4/1428438
Least Common Multiple of 759,5646 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 759,5646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,5646) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,5646) x common factors =3 x 1 = 3
LCM(759,5646) = ( 759 × 5646 ) / 3
LCM(759,5646) = 4285314 / 3
LCM(759,5646) = 1428438
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FAQs on GCF of Fractions of 8556/759, 8164/5646
1. What is the HCF of 8556,8164?
The HCF of 8556,8164 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 8556/759, 8164/5646?
Answer: GCF of Numerators as per given numbers 8556/759, 8164/5646 is
GCF of Numerators i.e. for 8556,8164 is 4
LCM of denominators i.e. for 759,5646 is 1428438.
Thus, GCF of Fractions is 4/1428438.Finally, GCF of Fractions for 8556/759, 8164/5646 is 4/1428438.