GCF of 8870/751, 8580/6352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8870/751, 8580/6352 i.e 10/4770352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8870/751, 8580/6352.
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 8870/751,8580/6352?
Given fractions are 8870/751,8580/6352
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 8870/751,8580/6352, numerators are 8870,8580
Denominators are 751,6352
The GCF of 8870,8580 is 10 .
LCM of 751,6352 is 4770352.
The greatest common factor of 8870/751,8580/6352 = [GCF of 8870,8580]/[LCM of 751,6352]= 10/4770352
Therefore, the GCF of 8870/751,8580/6352 is 10/4770352.
To find the highest common factor of 8870,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
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 HCF of 8870,8580 is 10.
Lets's calculate GCF of 8870,8580
| 2 | 8870, 8580 |
| 5 | 4435, 4290 |
| 887, 858 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8870,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
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
Greatest Common Factor
We found the factors 8870,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 8870,8580 is 10.
Lets's calculate LCM of 751,6352
Given numbers has no common factors except 1. So, there LCM is their product i.e 4770352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4770352
Therefore, the GCF of Fractions 8870/751,8580/6352 is 10/4770352
Least Common Multiple of 751,6352 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 751,6352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,6352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,6352) x common factors =1 x 1 = 1
LCM(751,6352) = ( 751 × 6352 ) / 1
LCM(751,6352) = 4770352 / 1
LCM(751,6352) = 4770352
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FAQs on GCF of Fractions of 8870/751, 8580/6352
1. What is the HCF of 8870,8580?
The HCF of 8870,8580 is 10
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 8870/751, 8580/6352?
Answer: GCF of Numerators as per given numbers 8870/751, 8580/6352 is
GCF of Numerators i.e. for 8870,8580 is 10
LCM of denominators i.e. for 751,6352 is 4770352.
Thus, GCF of Fractions is 10/4770352.Finally, GCF of Fractions for 8870/751, 8580/6352 is 10/4770352.