GCF of 7791/898, 9750/7078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7791/898, 9750/7078 i.e 3/3178022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7791/898, 9750/7078.
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 7791/898,9750/7078?
Given fractions are 7791/898,9750/7078
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 7791/898,9750/7078, numerators are 7791,9750
Denominators are 898,7078
The GCF of 7791,9750 is 3 .
LCM of 898,7078 is 3178022.
The greatest common factor of 7791/898,9750/7078 = [GCF of 7791,9750]/[LCM of 898,7078]= 3/3178022
Therefore, the GCF of 7791/898,9750/7078 is 3/3178022.
To find the highest common factor of 7791,9750, we have to find the factors of both numbers and list the highest common factor.
The factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791
The factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
The HCF of 7791,9750 is 3.
Lets's calculate GCF of 7791,9750
| 3 | 7791, 9750 |
| 2597, 3250 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7791,9750 By Matching Biggest Common Factor Method
Now, list down the factors of 7791
:1,3,7,21,49,53,147,159,371,1113,2597,7791
Now, list down the factors of 9750
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 7791,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 7791,9750 is 3.
Lets's calculate LCM of 898,7078
| 2 | 898, 7078 |
| 449, 3539 |
∴ So the LCM of the given numbers is 2 x 449 x 3539 = 3178022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3178022
Therefore, the GCF of Fractions 7791/898,9750/7078 is 3/3178022
Least Common Multiple of 898,7078 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 898,7078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,7078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,7078) x common factors =2 x 1 = 2
LCM(898,7078) = ( 898 × 7078 ) / 2
LCM(898,7078) = 6356044 / 2
LCM(898,7078) = 3178022
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FAQs on GCF of Fractions of 7791/898, 9750/7078
1. What is the HCF of 7791,9750?
The HCF of 7791,9750 is 3
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 7791/898, 9750/7078?
Answer: GCF of Numerators as per given numbers 7791/898, 9750/7078 is
GCF of Numerators i.e. for 7791,9750 is 3
LCM of denominators i.e. for 898,7078 is 3178022.
Thus, GCF of Fractions is 3/3178022.Finally, GCF of Fractions for 7791/898, 9750/7078 is 3/3178022.