GCF of 4844/712, 6984/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4844/712, 6984/160 i.e 4/14240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4844/712, 6984/160.
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 4844/712,6984/160?
Given fractions are 4844/712,6984/160
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 4844/712,6984/160, numerators are 4844,6984
Denominators are 712,160
The GCF of 4844,6984 is 4 .
LCM of 712,160 is 14240.
The greatest common factor of 4844/712,6984/160 = [GCF of 4844,6984]/[LCM of 712,160]= 4/14240
Therefore, the GCF of 4844/712,6984/160 is 4/14240.
To find the highest common factor of 4844,6984, we have to find the factors of both numbers and list the highest common factor.
The factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844
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 4844,6984 is 4.
Lets's calculate GCF of 4844,6984
| 2 | 4844, 6984 |
| 2 | 2422, 3492 |
| 1211, 1746 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4844,6984 By Matching Biggest Common Factor Method
Now, list down the factors of 4844
:1,2,4,7,14,28,173,346,692,1211,2422,4844
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 4844,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,6984 is 4.
Lets's calculate LCM of 712,160
| 2 | 712, 160 |
| 2 | 356, 80 |
| 2 | 178, 40 |
| 89, 20 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 20 = 14240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14240
Therefore, the GCF of Fractions 4844/712,6984/160 is 4/14240
Least Common Multiple of 712,160 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 712,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,160) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(712,160) x common factors =8 x 1 = 8
LCM(712,160) = ( 712 × 160 ) / 8
LCM(712,160) = 113920 / 8
LCM(712,160) = 14240
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FAQs on GCF of Fractions of 4844/712, 6984/160
1. What is the HCF of 4844,6984?
The HCF of 4844,6984 is 4
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 4844/712, 6984/160?
Answer: GCF of Numerators as per given numbers 4844/712, 6984/160 is
GCF of Numerators i.e. for 4844,6984 is 4
LCM of denominators i.e. for 712,160 is 14240.
Thus, GCF of Fractions is 4/14240.Finally, GCF of Fractions for 4844/712, 6984/160 is 4/14240.