GCF of 156/970, 759/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 156/970, 759/863 i.e 3/837110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/970, 759/863.
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 156/970,759/863?
Given fractions are 156/970,759/863
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 156/970,759/863, numerators are 156,759
Denominators are 970,863
The GCF of 156,759 is 3 .
LCM of 970,863 is 837110.
The greatest common factor of 156/970,759/863 = [GCF of 156,759]/[LCM of 970,863]= 3/837110
Therefore, the GCF of 156/970,759/863 is 3/837110.
To find the highest common factor of 156,759, we have to find the factors of both numbers and list the highest common factor.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The HCF of 156,759 is 3.
Lets's calculate GCF of 156,759
| 3 | 156, 759 |
| 52, 253 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 156,759 By Matching Biggest Common Factor Method
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 156,759 . The biggest common factor number is the GCF number.
So the greatest common factor 156,759 is 3.
Lets's calculate LCM of 970,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 837110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/837110
Therefore, the GCF of Fractions 156/970,759/863 is 3/837110
Least Common Multiple of 970,863 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 970,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,863) x common factors =1 x 1 = 1
LCM(970,863) = ( 970 × 863 ) / 1
LCM(970,863) = 837110 / 1
LCM(970,863) = 837110
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FAQs on GCF of Fractions of 156/970, 759/863
1. What is the HCF of 156,759?
The HCF of 156,759 is 3
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 156/970, 759/863?
Answer: GCF of Numerators as per given numbers 156/970, 759/863 is
GCF of Numerators i.e. for 156,759 is 3
LCM of denominators i.e. for 970,863 is 837110.
Thus, GCF of Fractions is 3/837110.Finally, GCF of Fractions for 156/970, 759/863 is 3/837110.