GCF of 3370/134, 6316/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3370/134, 6316/455 i.e 2/60970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3370/134, 6316/455.
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 3370/134,6316/455?
Given fractions are 3370/134,6316/455
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 3370/134,6316/455, numerators are 3370,6316
Denominators are 134,455
The GCF of 3370,6316 is 2 .
LCM of 134,455 is 60970.
The greatest common factor of 3370/134,6316/455 = [GCF of 3370,6316]/[LCM of 134,455]= 2/60970
Therefore, the GCF of 3370/134,6316/455 is 2/60970.
To find the highest common factor of 3370,6316, we have to find the factors of both numbers and list the highest common factor.
The factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370
The factors of 6316 are 1, 2, 4, 1579, 3158, 6316
The HCF of 3370,6316 is 2.
Lets's calculate GCF of 3370,6316
| 2 | 3370, 6316 |
| 1685, 3158 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3370,6316 By Matching Biggest Common Factor Method
Now, list down the factors of 3370
:1,2,5,10,337,674,1685,3370
Now, list down the factors of 6316
:1,2,4,1579,3158,6316
Greatest Common Factor
We found the factors 3370,6316 . The biggest common factor number is the GCF number.
So the greatest common factor 3370,6316 is 2.
Lets's calculate LCM of 134,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 60970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60970
Therefore, the GCF of Fractions 3370/134,6316/455 is 2/60970
Least Common Multiple of 134,455 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 134,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,455) x common factors =1 x 1 = 1
LCM(134,455) = ( 134 × 455 ) / 1
LCM(134,455) = 60970 / 1
LCM(134,455) = 60970
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FAQs on GCF of Fractions of 3370/134, 6316/455
1. What is the HCF of 3370,6316?
The HCF of 3370,6316 is 2
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 3370/134, 6316/455?
Answer: GCF of Numerators as per given numbers 3370/134, 6316/455 is
GCF of Numerators i.e. for 3370,6316 is 2
LCM of denominators i.e. for 134,455 is 60970.
Thus, GCF of Fractions is 2/60970.Finally, GCF of Fractions for 3370/134, 6316/455 is 2/60970.