GCF of 6915/805, 7878/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6915/805, 7878/598 i.e 3/20930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6915/805, 7878/598.
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 6915/805,7878/598?
Given fractions are 6915/805,7878/598
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 6915/805,7878/598, numerators are 6915,7878
Denominators are 805,598
The GCF of 6915,7878 is 3 .
LCM of 805,598 is 20930.
The greatest common factor of 6915/805,7878/598 = [GCF of 6915,7878]/[LCM of 805,598]= 3/20930
Therefore, the GCF of 6915/805,7878/598 is 3/20930.
To find the highest common factor of 6915,7878, we have to find the factors of both numbers and list the highest common factor.
The factors of 6915 are 1, 3, 5, 15, 461, 1383, 2305, 6915
The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
The HCF of 6915,7878 is 3.
Lets's calculate GCF of 6915,7878
| 3 | 6915, 7878 |
| 2305, 2626 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6915,7878 By Matching Biggest Common Factor Method
Now, list down the factors of 6915
:1,3,5,15,461,1383,2305,6915
Now, list down the factors of 7878
:1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878
Greatest Common Factor
We found the factors 6915,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 6915,7878 is 3.
Lets's calculate LCM of 805,598
| 23 | 805, 598 |
| 35, 26 |
∴ So the LCM of the given numbers is 23 x 35 x 26 = 20930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20930
Therefore, the GCF of Fractions 6915/805,7878/598 is 3/20930
Least Common Multiple of 805,598 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 805,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,598) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(805,598) x common factors =23 x 1 = 23
LCM(805,598) = ( 805 × 598 ) / 23
LCM(805,598) = 481390 / 23
LCM(805,598) = 20930
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FAQs on GCF of Fractions of 6915/805, 7878/598
1. What is the HCF of 6915,7878?
The HCF of 6915,7878 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 6915/805, 7878/598?
Answer: GCF of Numerators as per given numbers 6915/805, 7878/598 is
GCF of Numerators i.e. for 6915,7878 is 3
LCM of denominators i.e. for 805,598 is 20930.
Thus, GCF of Fractions is 3/20930.Finally, GCF of Fractions for 6915/805, 7878/598 is 3/20930.