GCF of 7820/344, 1938/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7820/344, 1938/613 i.e 34/210872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7820/344, 1938/613.
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 7820/344,1938/613?
Given fractions are 7820/344,1938/613
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 7820/344,1938/613, numerators are 7820,1938
Denominators are 344,613
The GCF of 7820,1938 is 34 .
LCM of 344,613 is 210872.
The greatest common factor of 7820/344,1938/613 = [GCF of 7820,1938]/[LCM of 344,613]= 34/210872
Therefore, the GCF of 7820/344,1938/613 is 34/210872.
To find the highest common factor of 7820,1938, we have to find the factors of both numbers and list the highest common factor.
The factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820
The factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
The HCF of 7820,1938 is 34.
Lets's calculate GCF of 7820,1938
| 2 | 7820, 1938 |
| 17 | 3910, 969 |
| 230, 57 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 7820,1938 By Matching Biggest Common Factor Method
Now, list down the factors of 7820
:1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820
Now, list down the factors of 1938
:1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Greatest Common Factor
We found the factors 7820,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 7820,1938 is 34.
Lets's calculate LCM of 344,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 210872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/210872
Therefore, the GCF of Fractions 7820/344,1938/613 is 34/210872
Least Common Multiple of 344,613 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 344,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,613) x common factors =1 x 1 = 1
LCM(344,613) = ( 344 × 613 ) / 1
LCM(344,613) = 210872 / 1
LCM(344,613) = 210872
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FAQs on GCF of Fractions of 7820/344, 1938/613
1. What is the HCF of 7820,1938?
The HCF of 7820,1938 is 34
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 7820/344, 1938/613?
Answer: GCF of Numerators as per given numbers 7820/344, 1938/613 is
GCF of Numerators i.e. for 7820,1938 is 34
LCM of denominators i.e. for 344,613 is 210872.
Thus, GCF of Fractions is 34/210872.Finally, GCF of Fractions for 7820/344, 1938/613 is 34/210872.