GCF of 6968/873, 6396/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6968/873, 6396/759 i.e 52/220869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6968/873, 6396/759.
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 6968/873,6396/759?
Given fractions are 6968/873,6396/759
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 6968/873,6396/759, numerators are 6968,6396
Denominators are 873,759
The GCF of 6968,6396 is 52 .
LCM of 873,759 is 220869.
The greatest common factor of 6968/873,6396/759 = [GCF of 6968,6396]/[LCM of 873,759]= 52/220869
Therefore, the GCF of 6968/873,6396/759 is 52/220869.
To find the highest common factor of 6968,6396, we have to find the factors of both numbers and list the highest common factor.
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The factors of 6396 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396
The HCF of 6968,6396 is 52.
Lets's calculate GCF of 6968,6396
| 2 | 6968, 6396 |
| 2 | 3484, 3198 |
| 13 | 1742, 1599 |
| 134, 123 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 6968,6396 By Matching Biggest Common Factor Method
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Now, list down the factors of 6396
:1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396
Greatest Common Factor
We found the factors 6968,6396 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,6396 is 52.
Lets's calculate LCM of 873,759
| 3 | 873, 759 |
| 291, 253 |
∴ So the LCM of the given numbers is 3 x 291 x 253 = 220869
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/220869
Therefore, the GCF of Fractions 6968/873,6396/759 is 52/220869
Least Common Multiple of 873,759 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 873,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,759) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(873,759) x common factors =3 x 1 = 3
LCM(873,759) = ( 873 × 759 ) / 3
LCM(873,759) = 662607 / 3
LCM(873,759) = 220869
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FAQs on GCF of Fractions of 6968/873, 6396/759
1. What is the HCF of 6968,6396?
The HCF of 6968,6396 is 52
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 6968/873, 6396/759?
Answer: GCF of Numerators as per given numbers 6968/873, 6396/759 is
GCF of Numerators i.e. for 6968,6396 is 52
LCM of denominators i.e. for 873,759 is 220869.
Thus, GCF of Fractions is 52/220869.Finally, GCF of Fractions for 6968/873, 6396/759 is 52/220869.