GCF of 4949/406, 2999/7884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4949/406, 2999/7884 i.e 1/1600452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4949/406, 2999/7884.
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 4949/406,2999/7884?
Given fractions are 4949/406,2999/7884
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 4949/406,2999/7884, numerators are 4949,2999
Denominators are 406,7884
The GCF of 4949,2999 is 1 .
LCM of 406,7884 is 1600452.
The greatest common factor of 4949/406,2999/7884 = [GCF of 4949,2999]/[LCM of 406,7884]= 1/1600452
Therefore, the GCF of 4949/406,2999/7884 is 1/1600452.
To find the highest common factor of 4949,2999, 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 2999 are 1, 2999
The HCF of 4949,2999 is 1.
Lets's calculate GCF of 4949,2999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4949,2999 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 2999
:1,2999
Greatest Common Factor
We found the factors 4949,2999 . The biggest common factor number is the GCF number.
So the greatest common factor 4949,2999 is 1.
Lets's calculate LCM of 406,7884
| 2 | 406, 7884 |
| 203, 3942 |
∴ So the LCM of the given numbers is 2 x 203 x 3942 = 1600452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1600452
Therefore, the GCF of Fractions 4949/406,2999/7884 is 1/1600452
Least Common Multiple of 406,7884 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 406,7884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,7884) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,7884) x common factors =2 x 1 = 2
LCM(406,7884) = ( 406 × 7884 ) / 2
LCM(406,7884) = 3200904 / 2
LCM(406,7884) = 1600452
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FAQs on GCF of Fractions of 4949/406, 2999/7884
1. What is the HCF of 4949,2999?
The HCF of 4949,2999 is 1
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 4949/406, 2999/7884?
Answer: GCF of Numerators as per given numbers 4949/406, 2999/7884 is
GCF of Numerators i.e. for 4949,2999 is 1
LCM of denominators i.e. for 406,7884 is 1600452.
Thus, GCF of Fractions is 1/1600452.Finally, GCF of Fractions for 4949/406, 2999/7884 is 1/1600452.