GCF of 7706/973, 4160/9870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7706/973, 4160/9870 i.e 2/1371930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7706/973, 4160/9870.
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 7706/973,4160/9870?
Given fractions are 7706/973,4160/9870
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 7706/973,4160/9870, numerators are 7706,4160
Denominators are 973,9870
The GCF of 7706,4160 is 2 .
LCM of 973,9870 is 1371930.
The greatest common factor of 7706/973,4160/9870 = [GCF of 7706,4160]/[LCM of 973,9870]= 2/1371930
Therefore, the GCF of 7706/973,4160/9870 is 2/1371930.
To find the highest common factor of 7706,4160, we have to find the factors of both numbers and list the highest common factor.
The factors of 7706 are 1, 2, 3853, 7706
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The HCF of 7706,4160 is 2.
Lets's calculate GCF of 7706,4160
| 2 | 7706, 4160 |
| 3853, 2080 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7706,4160 By Matching Biggest Common Factor Method
Now, list down the factors of 7706
:1,2,3853,7706
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 7706,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 7706,4160 is 2.
Lets's calculate LCM of 973,9870
| 7 | 973, 9870 |
| 139, 1410 |
∴ So the LCM of the given numbers is 7 x 139 x 1410 = 1371930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1371930
Therefore, the GCF of Fractions 7706/973,4160/9870 is 2/1371930
Least Common Multiple of 973,9870 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 973,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,9870) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(973,9870) x common factors =7 x 1 = 7
LCM(973,9870) = ( 973 × 9870 ) / 7
LCM(973,9870) = 9603510 / 7
LCM(973,9870) = 1371930
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FAQs on GCF of Fractions of 7706/973, 4160/9870
1. What is the HCF of 7706,4160?
The HCF of 7706,4160 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 7706/973, 4160/9870?
Answer: GCF of Numerators as per given numbers 7706/973, 4160/9870 is
GCF of Numerators i.e. for 7706,4160 is 2
LCM of denominators i.e. for 973,9870 is 1371930.
Thus, GCF of Fractions is 2/1371930.Finally, GCF of Fractions for 7706/973, 4160/9870 is 2/1371930.