GCF of 7097/786, 6298/8394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7097/786, 6298/8394 i.e 47/1099614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7097/786, 6298/8394.
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 7097/786,6298/8394?
Given fractions are 7097/786,6298/8394
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 7097/786,6298/8394, numerators are 7097,6298
Denominators are 786,8394
The GCF of 7097,6298 is 47 .
LCM of 786,8394 is 1099614.
The greatest common factor of 7097/786,6298/8394 = [GCF of 7097,6298]/[LCM of 786,8394]= 47/1099614
Therefore, the GCF of 7097/786,6298/8394 is 47/1099614.
To find the highest common factor of 7097,6298, we have to find the factors of both numbers and list the highest common factor.
The factors of 7097 are 1, 47, 151, 7097
The factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298
The HCF of 7097,6298 is 47.
Lets's calculate GCF of 7097,6298
| 47 | 7097, 6298 |
| 151, 134 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 7097,6298 By Matching Biggest Common Factor Method
Now, list down the factors of 7097
:1,47,151,7097
Now, list down the factors of 6298
:1,2,47,67,94,134,3149,6298
Greatest Common Factor
We found the factors 7097,6298 . The biggest common factor number is the GCF number.
So the greatest common factor 7097,6298 is 47.
Lets's calculate LCM of 786,8394
| 2 | 786, 8394 |
| 3 | 393, 4197 |
| 131, 1399 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 1399 = 1099614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1099614
Therefore, the GCF of Fractions 7097/786,6298/8394 is 47/1099614
Least Common Multiple of 786,8394 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 786,8394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,8394) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(786,8394) x common factors =6 x 1 = 6
LCM(786,8394) = ( 786 × 8394 ) / 6
LCM(786,8394) = 6597684 / 6
LCM(786,8394) = 1099614
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FAQs on GCF of Fractions of 7097/786, 6298/8394
1. What is the HCF of 7097,6298?
The HCF of 7097,6298 is 47
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 7097/786, 6298/8394?
Answer: GCF of Numerators as per given numbers 7097/786, 6298/8394 is
GCF of Numerators i.e. for 7097,6298 is 47
LCM of denominators i.e. for 786,8394 is 1099614.
Thus, GCF of Fractions is 47/1099614.Finally, GCF of Fractions for 7097/786, 6298/8394 is 47/1099614.