GCF of 6916/161, 3804/9503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6916/161, 3804/9503 i.e 4/1529983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6916/161, 3804/9503.
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 6916/161,3804/9503?
Given fractions are 6916/161,3804/9503
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 6916/161,3804/9503, numerators are 6916,3804
Denominators are 161,9503
The GCF of 6916,3804 is 4 .
LCM of 161,9503 is 1529983.
The greatest common factor of 6916/161,3804/9503 = [GCF of 6916,3804]/[LCM of 161,9503]= 4/1529983
Therefore, the GCF of 6916/161,3804/9503 is 4/1529983.
To find the highest common factor of 6916,3804, we have to find the factors of both numbers and list the highest common factor.
The factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916
The factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804
The HCF of 6916,3804 is 4.
Lets's calculate GCF of 6916,3804
| 2 | 6916, 3804 |
| 2 | 3458, 1902 |
| 1729, 951 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6916,3804 By Matching Biggest Common Factor Method
Now, list down the factors of 6916
:1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916
Now, list down the factors of 3804
:1,2,3,4,6,12,317,634,951,1268,1902,3804
Greatest Common Factor
We found the factors 6916,3804 . The biggest common factor number is the GCF number.
So the greatest common factor 6916,3804 is 4.
Lets's calculate LCM of 161,9503
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1529983
Therefore, the GCF of Fractions 6916/161,3804/9503 is 4/1529983
Least Common Multiple of 161,9503 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 161,9503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,9503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,9503) x common factors =1 x 1 = 1
LCM(161,9503) = ( 161 × 9503 ) / 1
LCM(161,9503) = 1529983 / 1
LCM(161,9503) = 1529983
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FAQs on GCF of Fractions of 6916/161, 3804/9503
1. What is the HCF of 6916,3804?
The HCF of 6916,3804 is 4
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 6916/161, 3804/9503?
Answer: GCF of Numerators as per given numbers 6916/161, 3804/9503 is
GCF of Numerators i.e. for 6916,3804 is 4
LCM of denominators i.e. for 161,9503 is 1529983.
Thus, GCF of Fractions is 4/1529983.Finally, GCF of Fractions for 6916/161, 3804/9503 is 4/1529983.