GCF of 4396/198, 3709/7725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4396/198, 3709/7725 i.e 1/509850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4396/198, 3709/7725.
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 4396/198,3709/7725?
Given fractions are 4396/198,3709/7725
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 4396/198,3709/7725, numerators are 4396,3709
Denominators are 198,7725
The GCF of 4396,3709 is 1 .
LCM of 198,7725 is 509850.
The greatest common factor of 4396/198,3709/7725 = [GCF of 4396,3709]/[LCM of 198,7725]= 1/509850
Therefore, the GCF of 4396/198,3709/7725 is 1/509850.
To find the highest common factor of 4396,3709, we have to find the factors of both numbers and list the highest common factor.
The factors of 4396 are 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396
The factors of 3709 are 1, 3709
The HCF of 4396,3709 is 1.
Lets's calculate GCF of 4396,3709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4396,3709 By Matching Biggest Common Factor Method
Now, list down the factors of 4396
:1,2,4,7,14,28,157,314,628,1099,2198,4396
Now, list down the factors of 3709
:1,3709
Greatest Common Factor
We found the factors 4396,3709 . The biggest common factor number is the GCF number.
So the greatest common factor 4396,3709 is 1.
Lets's calculate LCM of 198,7725
| 3 | 198, 7725 |
| 66, 2575 |
∴ So the LCM of the given numbers is 3 x 66 x 2575 = 509850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509850
Therefore, the GCF of Fractions 4396/198,3709/7725 is 1/509850
Least Common Multiple of 198,7725 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 198,7725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,7725) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(198,7725) x common factors =3 x 1 = 3
LCM(198,7725) = ( 198 × 7725 ) / 3
LCM(198,7725) = 1529550 / 3
LCM(198,7725) = 509850
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FAQs on GCF of Fractions of 4396/198, 3709/7725
1. What is the HCF of 4396,3709?
The HCF of 4396,3709 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 4396/198, 3709/7725?
Answer: GCF of Numerators as per given numbers 4396/198, 3709/7725 is
GCF of Numerators i.e. for 4396,3709 is 1
LCM of denominators i.e. for 198,7725 is 509850.
Thus, GCF of Fractions is 1/509850.Finally, GCF of Fractions for 4396/198, 3709/7725 is 1/509850.