GCF of 6972/792, 7077/9968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6972/792, 7077/9968 i.e 21/986832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6972/792, 7077/9968.
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 6972/792,7077/9968?
Given fractions are 6972/792,7077/9968
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 6972/792,7077/9968, numerators are 6972,7077
Denominators are 792,9968
The GCF of 6972,7077 is 21 .
LCM of 792,9968 is 986832.
The greatest common factor of 6972/792,7077/9968 = [GCF of 6972,7077]/[LCM of 792,9968]= 21/986832
Therefore, the GCF of 6972/792,7077/9968 is 21/986832.
To find the highest common factor of 6972,7077, we have to find the factors of both numbers and list the highest common factor.
The factors of 6972 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486, 6972
The factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077
The HCF of 6972,7077 is 21.
Lets's calculate GCF of 6972,7077
| 3 | 6972, 7077 |
| 7 | 2324, 2359 |
| 332, 337 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6972,7077 By Matching Biggest Common Factor Method
Now, list down the factors of 6972
:1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972
Now, list down the factors of 7077
:1,3,7,21,337,1011,2359,7077
Greatest Common Factor
We found the factors 6972,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 6972,7077 is 21.
Lets's calculate LCM of 792,9968
| 2 | 792, 9968 |
| 2 | 396, 4984 |
| 2 | 198, 2492 |
| 99, 1246 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 1246 = 986832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/986832
Therefore, the GCF of Fractions 6972/792,7077/9968 is 21/986832
Least Common Multiple of 792,9968 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 792,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,9968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(792,9968) x common factors =8 x 1 = 8
LCM(792,9968) = ( 792 × 9968 ) / 8
LCM(792,9968) = 7894656 / 8
LCM(792,9968) = 986832
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FAQs on GCF of Fractions of 6972/792, 7077/9968
1. What is the HCF of 6972,7077?
The HCF of 6972,7077 is 21
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 6972/792, 7077/9968?
Answer: GCF of Numerators as per given numbers 6972/792, 7077/9968 is
GCF of Numerators i.e. for 6972,7077 is 21
LCM of denominators i.e. for 792,9968 is 986832.
Thus, GCF of Fractions is 21/986832.Finally, GCF of Fractions for 6972/792, 7077/9968 is 21/986832.