GCF of 8580/869, 7122/8702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8580/869, 7122/8702 i.e 6/7562038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8580/869, 7122/8702.
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 8580/869,7122/8702?
Given fractions are 8580/869,7122/8702
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 8580/869,7122/8702, numerators are 8580,7122
Denominators are 869,8702
The GCF of 8580,7122 is 6 .
LCM of 869,8702 is 7562038.
The greatest common factor of 8580/869,7122/8702 = [GCF of 8580,7122]/[LCM of 869,8702]= 6/7562038
Therefore, the GCF of 8580/869,7122/8702 is 6/7562038.
To find the highest common factor of 8580,7122, we have to find the factors of both numbers and list the highest common factor.
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The HCF of 8580,7122 is 6.
Lets's calculate GCF of 8580,7122
| 2 | 8580, 7122 |
| 3 | 4290, 3561 |
| 1430, 1187 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8580,7122 By Matching Biggest Common Factor Method
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Greatest Common Factor
We found the factors 8580,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 8580,7122 is 6.
Lets's calculate LCM of 869,8702
Given numbers has no common factors except 1. So, there LCM is their product i.e 7562038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7562038
Therefore, the GCF of Fractions 8580/869,7122/8702 is 6/7562038
Least Common Multiple of 869,8702 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 869,8702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,8702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,8702) x common factors =1 x 1 = 1
LCM(869,8702) = ( 869 × 8702 ) / 1
LCM(869,8702) = 7562038 / 1
LCM(869,8702) = 7562038
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8580/869, 7122/8702
1. What is the HCF of 8580,7122?
The HCF of 8580,7122 is 6
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 8580/869, 7122/8702?
Answer: GCF of Numerators as per given numbers 8580/869, 7122/8702 is
GCF of Numerators i.e. for 8580,7122 is 6
LCM of denominators i.e. for 869,8702 is 7562038.
Thus, GCF of Fractions is 6/7562038.Finally, GCF of Fractions for 8580/869, 7122/8702 is 6/7562038.