GCF of 156/32, 778/7016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 156/32, 778/7016 i.e 2/28064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/32, 778/7016.
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 156/32,778/7016?
Given fractions are 156/32,778/7016
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 156/32,778/7016, numerators are 156,778
Denominators are 32,7016
The GCF of 156,778 is 2 .
LCM of 32,7016 is 28064.
The greatest common factor of 156/32,778/7016 = [GCF of 156,778]/[LCM of 32,7016]= 2/28064
Therefore, the GCF of 156/32,778/7016 is 2/28064.
To find the highest common factor of 156,778, 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 778 are 1, 2, 389, 778
The HCF of 156,778 is 2.
Lets's calculate GCF of 156,778
| 2 | 156, 778 |
| 78, 389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 156,778 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 778
:1,2,389,778
Greatest Common Factor
We found the factors 156,778 . The biggest common factor number is the GCF number.
So the greatest common factor 156,778 is 2.
Lets's calculate LCM of 32,7016
| 2 | 32, 7016 |
| 2 | 16, 3508 |
| 2 | 8, 1754 |
| 4, 877 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 877 = 28064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28064
Therefore, the GCF of Fractions 156/32,778/7016 is 2/28064
Least Common Multiple of 32,7016 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 32,7016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,7016) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(32,7016) x common factors =8 x 1 = 8
LCM(32,7016) = ( 32 × 7016 ) / 8
LCM(32,7016) = 224512 / 8
LCM(32,7016) = 28064
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FAQs on GCF of Fractions of 156/32, 778/7016
1. What is the HCF of 156,778?
The HCF of 156,778 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 156/32, 778/7016?
Answer: GCF of Numerators as per given numbers 156/32, 778/7016 is
GCF of Numerators i.e. for 156,778 is 2
LCM of denominators i.e. for 32,7016 is 28064.
Thus, GCF of Fractions is 2/28064.Finally, GCF of Fractions for 156/32, 778/7016 is 2/28064.