GCF of 860/707, 8870/878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 860/707, 8870/878 i.e 10/620746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/707, 8870/878.
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 860/707,8870/878?
Given fractions are 860/707,8870/878
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 860/707,8870/878, numerators are 860,8870
Denominators are 707,878
The GCF of 860,8870 is 10 .
LCM of 707,878 is 620746.
The greatest common factor of 860/707,8870/878 = [GCF of 860,8870]/[LCM of 707,878]= 10/620746
Therefore, the GCF of 860/707,8870/878 is 10/620746.
To find the highest common factor of 860,8870, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
The HCF of 860,8870 is 10.
Lets's calculate GCF of 860,8870
| 2 | 860, 8870 |
| 5 | 430, 4435 |
| 86, 887 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 860,8870 By Matching Biggest Common Factor Method
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 860,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 860,8870 is 10.
Lets's calculate LCM of 707,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 620746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/620746
Therefore, the GCF of Fractions 860/707,8870/878 is 10/620746
Least Common Multiple of 707,878 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 707,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,878) x common factors =1 x 1 = 1
LCM(707,878) = ( 707 × 878 ) / 1
LCM(707,878) = 620746 / 1
LCM(707,878) = 620746
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FAQs on GCF of Fractions of 860/707, 8870/878
1. What is the HCF of 860,8870?
The HCF of 860,8870 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 860/707, 8870/878?
Answer: GCF of Numerators as per given numbers 860/707, 8870/878 is
GCF of Numerators i.e. for 860,8870 is 10
LCM of denominators i.e. for 707,878 is 620746.
Thus, GCF of Fractions is 10/620746.Finally, GCF of Fractions for 860/707, 8870/878 is 10/620746.