GCF of 7340/189, 6370/8010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7340/189, 6370/8010 i.e 10/168210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7340/189, 6370/8010.
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 7340/189,6370/8010?
Given fractions are 7340/189,6370/8010
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 7340/189,6370/8010, numerators are 7340,6370
Denominators are 189,8010
The GCF of 7340,6370 is 10 .
LCM of 189,8010 is 168210.
The greatest common factor of 7340/189,6370/8010 = [GCF of 7340,6370]/[LCM of 189,8010]= 10/168210
Therefore, the GCF of 7340/189,6370/8010 is 10/168210.
To find the highest common factor of 7340,6370, we have to find the factors of both numbers and list the highest common factor.
The factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340
The factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370
The HCF of 7340,6370 is 10.
Lets's calculate GCF of 7340,6370
| 2 | 7340, 6370 |
| 5 | 3670, 3185 |
| 734, 637 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7340,6370 By Matching Biggest Common Factor Method
Now, list down the factors of 7340
:1,2,4,5,10,20,367,734,1468,1835,3670,7340
Now, list down the factors of 6370
:1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370
Greatest Common Factor
We found the factors 7340,6370 . The biggest common factor number is the GCF number.
So the greatest common factor 7340,6370 is 10.
Lets's calculate LCM of 189,8010
| 3 | 189, 8010 |
| 3 | 63, 2670 |
| 21, 890 |
∴ So the LCM of the given numbers is 3 x 3 x 21 x 890 = 168210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/168210
Therefore, the GCF of Fractions 7340/189,6370/8010 is 10/168210
Least Common Multiple of 189,8010 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 189,8010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,8010) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(189,8010) x common factors =9 x 1 = 9
LCM(189,8010) = ( 189 × 8010 ) / 9
LCM(189,8010) = 1513890 / 9
LCM(189,8010) = 168210
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7340/189, 6370/8010
1. What is the HCF of 7340,6370?
The HCF of 7340,6370 is 10
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 7340/189, 6370/8010?
Answer: GCF of Numerators as per given numbers 7340/189, 6370/8010 is
GCF of Numerators i.e. for 7340,6370 is 10
LCM of denominators i.e. for 189,8010 is 168210.
Thus, GCF of Fractions is 10/168210.Finally, GCF of Fractions for 7340/189, 6370/8010 is 10/168210.