GCF of 8156/620, 7751/3402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8156/620, 7751/3402 i.e 1/1054620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8156/620, 7751/3402.
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 8156/620,7751/3402?
Given fractions are 8156/620,7751/3402
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 8156/620,7751/3402, numerators are 8156,7751
Denominators are 620,3402
The GCF of 8156,7751 is 1 .
LCM of 620,3402 is 1054620.
The greatest common factor of 8156/620,7751/3402 = [GCF of 8156,7751]/[LCM of 620,3402]= 1/1054620
Therefore, the GCF of 8156/620,7751/3402 is 1/1054620.
To find the highest common factor of 8156,7751, we have to find the factors of both numbers and list the highest common factor.
The factors of 8156 are 1, 2, 4, 2039, 4078, 8156
The factors of 7751 are 1, 23, 337, 7751
The HCF of 8156,7751 is 1.
Lets's calculate GCF of 8156,7751
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8156,7751 By Matching Biggest Common Factor Method
Now, list down the factors of 8156
:1,2,4,2039,4078,8156
Now, list down the factors of 7751
:1,23,337,7751
Greatest Common Factor
We found the factors 8156,7751 . The biggest common factor number is the GCF number.
So the greatest common factor 8156,7751 is 1.
Lets's calculate LCM of 620,3402
| 2 | 620, 3402 |
| 310, 1701 |
∴ So the LCM of the given numbers is 2 x 310 x 1701 = 1054620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1054620
Therefore, the GCF of Fractions 8156/620,7751/3402 is 1/1054620
Least Common Multiple of 620,3402 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 620,3402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,3402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(620,3402) x common factors =2 x 1 = 2
LCM(620,3402) = ( 620 × 3402 ) / 2
LCM(620,3402) = 2109240 / 2
LCM(620,3402) = 1054620
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FAQs on GCF of Fractions of 8156/620, 7751/3402
1. What is the HCF of 8156,7751?
The HCF of 8156,7751 is 1
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 8156/620, 7751/3402?
Answer: GCF of Numerators as per given numbers 8156/620, 7751/3402 is
GCF of Numerators i.e. for 8156,7751 is 1
LCM of denominators i.e. for 620,3402 is 1054620.
Thus, GCF of Fractions is 1/1054620.Finally, GCF of Fractions for 8156/620, 7751/3402 is 1/1054620.