GCF of 616/58, 621/6038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 616/58, 621/6038 i.e 1/175102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/58, 621/6038.
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 616/58,621/6038?
Given fractions are 616/58,621/6038
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 616/58,621/6038, numerators are 616,621
Denominators are 58,6038
The GCF of 616,621 is 1 .
LCM of 58,6038 is 175102.
The greatest common factor of 616/58,621/6038 = [GCF of 616,621]/[LCM of 58,6038]= 1/175102
Therefore, the GCF of 616/58,621/6038 is 1/175102.
To find the highest common factor of 616,621, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The HCF of 616,621 is 1.
Lets's calculate GCF of 616,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 616,621 By Matching Biggest Common Factor Method
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 616,621 . The biggest common factor number is the GCF number.
So the greatest common factor 616,621 is 1.
Lets's calculate LCM of 58,6038
| 2 | 58, 6038 |
| 29, 3019 |
∴ So the LCM of the given numbers is 2 x 29 x 3019 = 175102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175102
Therefore, the GCF of Fractions 616/58,621/6038 is 1/175102
Least Common Multiple of 58,6038 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 58,6038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,6038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,6038) x common factors =2 x 1 = 2
LCM(58,6038) = ( 58 × 6038 ) / 2
LCM(58,6038) = 350204 / 2
LCM(58,6038) = 175102
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FAQs on GCF of Fractions of 616/58, 621/6038
1. What is the HCF of 616,621?
The HCF of 616,621 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 616/58, 621/6038?
Answer: GCF of Numerators as per given numbers 616/58, 621/6038 is
GCF of Numerators i.e. for 616,621 is 1
LCM of denominators i.e. for 58,6038 is 175102.
Thus, GCF of Fractions is 1/175102.Finally, GCF of Fractions for 616/58, 621/6038 is 1/175102.