GCF of 3648/878, 3492/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3648/878, 3492/974 i.e 12/427586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3648/878, 3492/974.
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 3648/878,3492/974?
Given fractions are 3648/878,3492/974
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 3648/878,3492/974, numerators are 3648,3492
Denominators are 878,974
The GCF of 3648,3492 is 12 .
LCM of 878,974 is 427586.
The greatest common factor of 3648/878,3492/974 = [GCF of 3648,3492]/[LCM of 878,974]= 12/427586
Therefore, the GCF of 3648/878,3492/974 is 12/427586.
To find the highest common factor of 3648,3492, we have to find the factors of both numbers and list the highest common factor.
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648
The factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492
The HCF of 3648,3492 is 12.
Lets's calculate GCF of 3648,3492
| 2 | 3648, 3492 |
| 2 | 1824, 1746 |
| 3 | 912, 873 |
| 304, 291 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3648,3492 By Matching Biggest Common Factor Method
Now, list down the factors of 3648
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Now, list down the factors of 3492
:1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492
Greatest Common Factor
We found the factors 3648,3492 . The biggest common factor number is the GCF number.
So the greatest common factor 3648,3492 is 12.
Lets's calculate LCM of 878,974
| 2 | 878, 974 |
| 439, 487 |
∴ So the LCM of the given numbers is 2 x 439 x 487 = 427586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/427586
Therefore, the GCF of Fractions 3648/878,3492/974 is 12/427586
Least Common Multiple of 878,974 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 878,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,974) x common factors =2 x 1 = 2
LCM(878,974) = ( 878 × 974 ) / 2
LCM(878,974) = 855172 / 2
LCM(878,974) = 427586
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FAQs on GCF of Fractions of 3648/878, 3492/974
1. What is the HCF of 3648,3492?
The HCF of 3648,3492 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 3648/878, 3492/974?
Answer: GCF of Numerators as per given numbers 3648/878, 3492/974 is
GCF of Numerators i.e. for 3648,3492 is 12
LCM of denominators i.e. for 878,974 is 427586.
Thus, GCF of Fractions is 12/427586.Finally, GCF of Fractions for 3648/878, 3492/974 is 12/427586.