GCF of 9620/598, 3816/9814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9620/598, 3816/9814 i.e 4/2934386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9620/598, 3816/9814.
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 9620/598,3816/9814?
Given fractions are 9620/598,3816/9814
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 9620/598,3816/9814, numerators are 9620,3816
Denominators are 598,9814
The GCF of 9620,3816 is 4 .
LCM of 598,9814 is 2934386.
The greatest common factor of 9620/598,3816/9814 = [GCF of 9620,3816]/[LCM of 598,9814]= 4/2934386
Therefore, the GCF of 9620/598,3816/9814 is 4/2934386.
To find the highest common factor of 9620,3816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
The factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816
The HCF of 9620,3816 is 4.
Lets's calculate GCF of 9620,3816
| 2 | 9620, 3816 |
| 2 | 4810, 1908 |
| 2405, 954 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9620,3816 By Matching Biggest Common Factor Method
Now, list down the factors of 9620
:1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Now, list down the factors of 3816
:1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816
Greatest Common Factor
We found the factors 9620,3816 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,3816 is 4.
Lets's calculate LCM of 598,9814
| 2 | 598, 9814 |
| 299, 4907 |
∴ So the LCM of the given numbers is 2 x 299 x 4907 = 2934386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2934386
Therefore, the GCF of Fractions 9620/598,3816/9814 is 4/2934386
Least Common Multiple of 598,9814 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 598,9814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,9814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,9814) x common factors =2 x 1 = 2
LCM(598,9814) = ( 598 × 9814 ) / 2
LCM(598,9814) = 5868772 / 2
LCM(598,9814) = 2934386
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FAQs on GCF of Fractions of 9620/598, 3816/9814
1. What is the HCF of 9620,3816?
The HCF of 9620,3816 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 9620/598, 3816/9814?
Answer: GCF of Numerators as per given numbers 9620/598, 3816/9814 is
GCF of Numerators i.e. for 9620,3816 is 4
LCM of denominators i.e. for 598,9814 is 2934386.
Thus, GCF of Fractions is 4/2934386.Finally, GCF of Fractions for 9620/598, 3816/9814 is 4/2934386.