GCF of 6972/134, 9840/2173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6972/134, 9840/2173 i.e 12/291182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6972/134, 9840/2173.
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 6972/134,9840/2173?
Given fractions are 6972/134,9840/2173
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 6972/134,9840/2173, numerators are 6972,9840
Denominators are 134,2173
The GCF of 6972,9840 is 12 .
LCM of 134,2173 is 291182.
The greatest common factor of 6972/134,9840/2173 = [GCF of 6972,9840]/[LCM of 134,2173]= 12/291182
Therefore, the GCF of 6972/134,9840/2173 is 12/291182.
To find the highest common factor of 6972,9840, 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 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840
The HCF of 6972,9840 is 12.
Lets's calculate GCF of 6972,9840
| 2 | 6972, 9840 |
| 2 | 3486, 4920 |
| 3 | 1743, 2460 |
| 581, 820 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6972,9840 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 9840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840
Greatest Common Factor
We found the factors 6972,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 6972,9840 is 12.
Lets's calculate LCM of 134,2173
Given numbers has no common factors except 1. So, there LCM is their product i.e 291182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/291182
Therefore, the GCF of Fractions 6972/134,9840/2173 is 12/291182
Least Common Multiple of 134,2173 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 134,2173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,2173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,2173) x common factors =1 x 1 = 1
LCM(134,2173) = ( 134 × 2173 ) / 1
LCM(134,2173) = 291182 / 1
LCM(134,2173) = 291182
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6972/134, 9840/2173
1. What is the HCF of 6972,9840?
The HCF of 6972,9840 is 12
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 6972/134, 9840/2173?
Answer: GCF of Numerators as per given numbers 6972/134, 9840/2173 is
GCF of Numerators i.e. for 6972,9840 is 12
LCM of denominators i.e. for 134,2173 is 291182.
Thus, GCF of Fractions is 12/291182.Finally, GCF of Fractions for 6972/134, 9840/2173 is 12/291182.