GCF of 860/165, 678/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 860/165, 678/839 i.e 2/138435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/165, 678/839.
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 860/165,678/839?
Given fractions are 860/165,678/839
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 860/165,678/839, numerators are 860,678
Denominators are 165,839
The GCF of 860,678 is 2 .
LCM of 165,839 is 138435.
The greatest common factor of 860/165,678/839 = [GCF of 860,678]/[LCM of 165,839]= 2/138435
Therefore, the GCF of 860/165,678/839 is 2/138435.
To find the highest common factor of 860,678, 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 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 860,678 is 2.
Lets's calculate GCF of 860,678
| 2 | 860, 678 |
| 430, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 860,678 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 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 860,678 . The biggest common factor number is the GCF number.
So the greatest common factor 860,678 is 2.
Lets's calculate LCM of 165,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 138435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138435
Therefore, the GCF of Fractions 860/165,678/839 is 2/138435
Least Common Multiple of 165,839 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 165,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,839) x common factors =1 x 1 = 1
LCM(165,839) = ( 165 × 839 ) / 1
LCM(165,839) = 138435 / 1
LCM(165,839) = 138435
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FAQs on GCF of Fractions of 860/165, 678/839
1. What is the HCF of 860,678?
The HCF of 860,678 is 2
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 860/165, 678/839?
Answer: GCF of Numerators as per given numbers 860/165, 678/839 is
GCF of Numerators i.e. for 860,678 is 2
LCM of denominators i.e. for 165,839 is 138435.
Thus, GCF of Fractions is 2/138435.Finally, GCF of Fractions for 860/165, 678/839 is 2/138435.