GCF of 4932/348, 6984/6765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4932/348, 6984/6765 i.e 36/784740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4932/348, 6984/6765.
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 4932/348,6984/6765?
Given fractions are 4932/348,6984/6765
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 4932/348,6984/6765, numerators are 4932,6984
Denominators are 348,6765
The GCF of 4932,6984 is 36 .
LCM of 348,6765 is 784740.
The greatest common factor of 4932/348,6984/6765 = [GCF of 4932,6984]/[LCM of 348,6765]= 36/784740
Therefore, the GCF of 4932/348,6984/6765 is 36/784740.
To find the highest common factor of 4932,6984, we have to find the factors of both numbers and list the highest common factor.
The factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932
The factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984
The HCF of 4932,6984 is 36.
Lets's calculate GCF of 4932,6984
| 2 | 4932, 6984 |
| 2 | 2466, 3492 |
| 3 | 1233, 1746 |
| 3 | 411, 582 |
| 137, 194 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 4932,6984 By Matching Biggest Common Factor Method
Now, list down the factors of 4932
:1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932
Now, list down the factors of 6984
:1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Greatest Common Factor
We found the factors 4932,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 4932,6984 is 36.
Lets's calculate LCM of 348,6765
| 3 | 348, 6765 |
| 116, 2255 |
∴ So the LCM of the given numbers is 3 x 116 x 2255 = 784740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/784740
Therefore, the GCF of Fractions 4932/348,6984/6765 is 36/784740
Least Common Multiple of 348,6765 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 348,6765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,6765) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(348,6765) x common factors =3 x 1 = 3
LCM(348,6765) = ( 348 × 6765 ) / 3
LCM(348,6765) = 2354220 / 3
LCM(348,6765) = 784740
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FAQs on GCF of Fractions of 4932/348, 6984/6765
1. What is the HCF of 4932,6984?
The HCF of 4932,6984 is 36
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 4932/348, 6984/6765?
Answer: GCF of Numerators as per given numbers 4932/348, 6984/6765 is
GCF of Numerators i.e. for 4932,6984 is 36
LCM of denominators i.e. for 348,6765 is 784740.
Thus, GCF of Fractions is 36/784740.Finally, GCF of Fractions for 4932/348, 6984/6765 is 36/784740.