GCF of 3813/237, 3117/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3813/237, 3117/606 i.e 3/47874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3813/237, 3117/606.
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 3813/237,3117/606?
Given fractions are 3813/237,3117/606
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 3813/237,3117/606, numerators are 3813,3117
Denominators are 237,606
The GCF of 3813,3117 is 3 .
LCM of 237,606 is 47874.
The greatest common factor of 3813/237,3117/606 = [GCF of 3813,3117]/[LCM of 237,606]= 3/47874
Therefore, the GCF of 3813/237,3117/606 is 3/47874.
To find the highest common factor of 3813,3117, we have to find the factors of both numbers and list the highest common factor.
The factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813
The factors of 3117 are 1, 3, 1039, 3117
The HCF of 3813,3117 is 3.
Lets's calculate GCF of 3813,3117
| 3 | 3813, 3117 |
| 1271, 1039 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3813,3117 By Matching Biggest Common Factor Method
Now, list down the factors of 3813
:1,3,31,41,93,123,1271,3813
Now, list down the factors of 3117
:1,3,1039,3117
Greatest Common Factor
We found the factors 3813,3117 . The biggest common factor number is the GCF number.
So the greatest common factor 3813,3117 is 3.
Lets's calculate LCM of 237,606
| 3 | 237, 606 |
| 79, 202 |
∴ So the LCM of the given numbers is 3 x 79 x 202 = 47874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47874
Therefore, the GCF of Fractions 3813/237,3117/606 is 3/47874
Least Common Multiple of 237,606 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 237,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,606) x common factors =3 x 1 = 3
LCM(237,606) = ( 237 × 606 ) / 3
LCM(237,606) = 143622 / 3
LCM(237,606) = 47874
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FAQs on GCF of Fractions of 3813/237, 3117/606
1. What is the HCF of 3813,3117?
The HCF of 3813,3117 is 3
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 3813/237, 3117/606?
Answer: GCF of Numerators as per given numbers 3813/237, 3117/606 is
GCF of Numerators i.e. for 3813,3117 is 3
LCM of denominators i.e. for 237,606 is 47874.
Thus, GCF of Fractions is 3/47874.Finally, GCF of Fractions for 3813/237, 3117/606 is 3/47874.