GCF of 7696/866, 3816/2117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7696/866, 3816/2117 i.e 8/1833322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7696/866, 3816/2117.
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 7696/866,3816/2117?
Given fractions are 7696/866,3816/2117
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 7696/866,3816/2117, numerators are 7696,3816
Denominators are 866,2117
The GCF of 7696,3816 is 8 .
LCM of 866,2117 is 1833322.
The greatest common factor of 7696/866,3816/2117 = [GCF of 7696,3816]/[LCM of 866,2117]= 8/1833322
Therefore, the GCF of 7696/866,3816/2117 is 8/1833322.
To find the highest common factor of 7696,3816, we have to find the factors of both numbers and list the highest common factor.
The factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696
The factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816
The HCF of 7696,3816 is 8.
Lets's calculate GCF of 7696,3816
| 2 | 7696, 3816 |
| 2 | 3848, 1908 |
| 2 | 1924, 954 |
| 962, 477 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7696,3816 By Matching Biggest Common Factor Method
Now, list down the factors of 7696
:1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696
Now, list down the factors of 3816
:1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816
Greatest Common Factor
We found the factors 7696,3816 . The biggest common factor number is the GCF number.
So the greatest common factor 7696,3816 is 8.
Lets's calculate LCM of 866,2117
Given numbers has no common factors except 1. So, there LCM is their product i.e 1833322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1833322
Therefore, the GCF of Fractions 7696/866,3816/2117 is 8/1833322
Least Common Multiple of 866,2117 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 866,2117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,2117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,2117) x common factors =1 x 1 = 1
LCM(866,2117) = ( 866 × 2117 ) / 1
LCM(866,2117) = 1833322 / 1
LCM(866,2117) = 1833322
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FAQs on GCF of Fractions of 7696/866, 3816/2117
1. What is the HCF of 7696,3816?
The HCF of 7696,3816 is 8
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 7696/866, 3816/2117?
Answer: GCF of Numerators as per given numbers 7696/866, 3816/2117 is
GCF of Numerators i.e. for 7696,3816 is 8
LCM of denominators i.e. for 866,2117 is 1833322.
Thus, GCF of Fractions is 8/1833322.Finally, GCF of Fractions for 7696/866, 3816/2117 is 8/1833322.