GCF of 3916/199, 3688/7567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3916/199, 3688/7567 i.e 4/1505833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3916/199, 3688/7567.
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 3916/199,3688/7567?
Given fractions are 3916/199,3688/7567
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 3916/199,3688/7567, numerators are 3916,3688
Denominators are 199,7567
The GCF of 3916,3688 is 4 .
LCM of 199,7567 is 1505833.
The greatest common factor of 3916/199,3688/7567 = [GCF of 3916,3688]/[LCM of 199,7567]= 4/1505833
Therefore, the GCF of 3916/199,3688/7567 is 4/1505833.
To find the highest common factor of 3916,3688, we have to find the factors of both numbers and list the highest common factor.
The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916
The factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688
The HCF of 3916,3688 is 4.
Lets's calculate GCF of 3916,3688
| 2 | 3916, 3688 |
| 2 | 1958, 1844 |
| 979, 922 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3916,3688 By Matching Biggest Common Factor Method
Now, list down the factors of 3916
:1,2,4,11,22,44,89,178,356,979,1958,3916
Now, list down the factors of 3688
:1,2,4,8,461,922,1844,3688
Greatest Common Factor
We found the factors 3916,3688 . The biggest common factor number is the GCF number.
So the greatest common factor 3916,3688 is 4.
Lets's calculate LCM of 199,7567
Given numbers has no common factors except 1. So, there LCM is their product i.e 1505833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1505833
Therefore, the GCF of Fractions 3916/199,3688/7567 is 4/1505833
Least Common Multiple of 199,7567 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 199,7567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,7567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,7567) x common factors =1 x 1 = 1
LCM(199,7567) = ( 199 × 7567 ) / 1
LCM(199,7567) = 1505833 / 1
LCM(199,7567) = 1505833
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FAQs on GCF of Fractions of 3916/199, 3688/7567
1. What is the HCF of 3916,3688?
The HCF of 3916,3688 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 3916/199, 3688/7567?
Answer: GCF of Numerators as per given numbers 3916/199, 3688/7567 is
GCF of Numerators i.e. for 3916,3688 is 4
LCM of denominators i.e. for 199,7567 is 1505833.
Thus, GCF of Fractions is 4/1505833.Finally, GCF of Fractions for 3916/199, 3688/7567 is 4/1505833.