GCF of 156/765, 1302/869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 156/765, 1302/869 i.e 6/664785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/765, 1302/869.
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 156/765,1302/869?
Given fractions are 156/765,1302/869
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 156/765,1302/869, numerators are 156,1302
Denominators are 765,869
The GCF of 156,1302 is 6 .
LCM of 765,869 is 664785.
The greatest common factor of 156/765,1302/869 = [GCF of 156,1302]/[LCM of 765,869]= 6/664785
Therefore, the GCF of 156/765,1302/869 is 6/664785.
To find the highest common factor of 156,1302, 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 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
The HCF of 156,1302 is 6.
Lets's calculate GCF of 156,1302
| 2 | 156, 1302 |
| 3 | 78, 651 |
| 26, 217 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 156,1302 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 1302
:1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302
Greatest Common Factor
We found the factors 156,1302 . The biggest common factor number is the GCF number.
So the greatest common factor 156,1302 is 6.
Lets's calculate LCM of 765,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 664785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/664785
Therefore, the GCF of Fractions 156/765,1302/869 is 6/664785
Least Common Multiple of 765,869 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 765,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,869) x common factors =1 x 1 = 1
LCM(765,869) = ( 765 × 869 ) / 1
LCM(765,869) = 664785 / 1
LCM(765,869) = 664785
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FAQs on GCF of Fractions of 156/765, 1302/869
1. What is the HCF of 156,1302?
The HCF of 156,1302 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 156/765, 1302/869?
Answer: GCF of Numerators as per given numbers 156/765, 1302/869 is
GCF of Numerators i.e. for 156,1302 is 6
LCM of denominators i.e. for 765,869 is 664785.
Thus, GCF of Fractions is 6/664785.Finally, GCF of Fractions for 156/765, 1302/869 is 6/664785.