GCF of 8380/342, 7922/5978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8380/342, 7922/5978 i.e 2/1022238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8380/342, 7922/5978.
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 8380/342,7922/5978?
Given fractions are 8380/342,7922/5978
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 8380/342,7922/5978, numerators are 8380,7922
Denominators are 342,5978
The GCF of 8380,7922 is 2 .
LCM of 342,5978 is 1022238.
The greatest common factor of 8380/342,7922/5978 = [GCF of 8380,7922]/[LCM of 342,5978]= 2/1022238
Therefore, the GCF of 8380/342,7922/5978 is 2/1022238.
To find the highest common factor of 8380,7922, we have to find the factors of both numbers and list the highest common factor.
The factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380
The factors of 7922 are 1, 2, 17, 34, 233, 466, 3961, 7922
The HCF of 8380,7922 is 2.
Lets's calculate GCF of 8380,7922
| 2 | 8380, 7922 |
| 4190, 3961 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8380,7922 By Matching Biggest Common Factor Method
Now, list down the factors of 8380
:1,2,4,5,10,20,419,838,1676,2095,4190,8380
Now, list down the factors of 7922
:1,2,17,34,233,466,3961,7922
Greatest Common Factor
We found the factors 8380,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 8380,7922 is 2.
Lets's calculate LCM of 342,5978
| 2 | 342, 5978 |
| 171, 2989 |
∴ So the LCM of the given numbers is 2 x 171 x 2989 = 1022238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1022238
Therefore, the GCF of Fractions 8380/342,7922/5978 is 2/1022238
Least Common Multiple of 342,5978 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 342,5978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,5978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,5978) x common factors =2 x 1 = 2
LCM(342,5978) = ( 342 × 5978 ) / 2
LCM(342,5978) = 2044476 / 2
LCM(342,5978) = 1022238
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FAQs on GCF of Fractions of 8380/342, 7922/5978
1. What is the HCF of 8380,7922?
The HCF of 8380,7922 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 8380/342, 7922/5978?
Answer: GCF of Numerators as per given numbers 8380/342, 7922/5978 is
GCF of Numerators i.e. for 8380,7922 is 2
LCM of denominators i.e. for 342,5978 is 1022238.
Thus, GCF of Fractions is 2/1022238.Finally, GCF of Fractions for 8380/342, 7922/5978 is 2/1022238.