GCF of 7068/972, 6969/6699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7068/972, 6969/6699 i.e 3/2170476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7068/972, 6969/6699.
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 7068/972,6969/6699?
Given fractions are 7068/972,6969/6699
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 7068/972,6969/6699, numerators are 7068,6969
Denominators are 972,6699
The GCF of 7068,6969 is 3 .
LCM of 972,6699 is 2170476.
The greatest common factor of 7068/972,6969/6699 = [GCF of 7068,6969]/[LCM of 972,6699]= 3/2170476
Therefore, the GCF of 7068/972,6969/6699 is 3/2170476.
To find the highest common factor of 7068,6969, we have to find the factors of both numbers and list the highest common factor.
The factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The HCF of 7068,6969 is 3.
Lets's calculate GCF of 7068,6969
| 3 | 7068, 6969 |
| 2356, 2323 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7068,6969 By Matching Biggest Common Factor Method
Now, list down the factors of 7068
:1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Greatest Common Factor
We found the factors 7068,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 7068,6969 is 3.
Lets's calculate LCM of 972,6699
| 3 | 972, 6699 |
| 324, 2233 |
∴ So the LCM of the given numbers is 3 x 324 x 2233 = 2170476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2170476
Therefore, the GCF of Fractions 7068/972,6969/6699 is 3/2170476
Least Common Multiple of 972,6699 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 972,6699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,6699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(972,6699) x common factors =3 x 1 = 3
LCM(972,6699) = ( 972 × 6699 ) / 3
LCM(972,6699) = 6511428 / 3
LCM(972,6699) = 2170476
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FAQs on GCF of Fractions of 7068/972, 6969/6699
1. What is the HCF of 7068,6969?
The HCF of 7068,6969 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 7068/972, 6969/6699?
Answer: GCF of Numerators as per given numbers 7068/972, 6969/6699 is
GCF of Numerators i.e. for 7068,6969 is 3
LCM of denominators i.e. for 972,6699 is 2170476.
Thus, GCF of Fractions is 3/2170476.Finally, GCF of Fractions for 7068/972, 6969/6699 is 3/2170476.