GCF of 4949/120, 3332/6000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4949/120, 3332/6000 i.e 49/6000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4949/120, 3332/6000.
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 4949/120,3332/6000?
Given fractions are 4949/120,3332/6000
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 4949/120,3332/6000, numerators are 4949,3332
Denominators are 120,6000
The GCF of 4949,3332 is 49 .
LCM of 120,6000 is 6000.
The greatest common factor of 4949/120,3332/6000 = [GCF of 4949,3332]/[LCM of 120,6000]= 49/6000
Therefore, the GCF of 4949/120,3332/6000 is 49/6000.
To find the highest common factor of 4949,3332, we have to find the factors of both numbers and list the highest common factor.
The factors of 4949 are 1, 7, 49, 101, 707, 4949
The factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332
The HCF of 4949,3332 is 49.
Lets's calculate GCF of 4949,3332
| 7 | 4949, 3332 |
| 7 | 707, 476 |
| 101, 68 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 4949,3332 By Matching Biggest Common Factor Method
Now, list down the factors of 4949
:1,7,49,101,707,4949
Now, list down the factors of 3332
:1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332
Greatest Common Factor
We found the factors 4949,3332 . The biggest common factor number is the GCF number.
So the greatest common factor 4949,3332 is 49.
Lets's calculate LCM of 120,6000
| 2 | 120, 6000 |
| 2 | 60, 3000 |
| 2 | 30, 1500 |
| 3 | 15, 750 |
| 5 | 5, 250 |
| 1, 50 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 50 = 6000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/6000
Therefore, the GCF of Fractions 4949/120,3332/6000 is 49/6000
Least Common Multiple of 120,6000 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 120,6000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,6000) = 120
common factors(in case of two or more numbers have common factors) = 1
GCF(120,6000) x common factors =120 x 1 = 120
LCM(120,6000) = ( 120 × 6000 ) / 120
LCM(120,6000) = 720000 / 120
LCM(120,6000) = 6000
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FAQs on GCF of Fractions of 4949/120, 3332/6000
1. What is the HCF of 4949,3332?
The HCF of 4949,3332 is 49
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 4949/120, 3332/6000?
Answer: GCF of Numerators as per given numbers 4949/120, 3332/6000 is
GCF of Numerators i.e. for 4949,3332 is 49
LCM of denominators i.e. for 120,6000 is 6000.
Thus, GCF of Fractions is 49/6000.Finally, GCF of Fractions for 4949/120, 3332/6000 is 49/6000.