GCF of 4934/756, 3807/836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4934/756, 3807/836 i.e 1/158004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4934/756, 3807/836.
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 4934/756,3807/836?
Given fractions are 4934/756,3807/836
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 4934/756,3807/836, numerators are 4934,3807
Denominators are 756,836
The GCF of 4934,3807 is 1 .
LCM of 756,836 is 158004.
The greatest common factor of 4934/756,3807/836 = [GCF of 4934,3807]/[LCM of 756,836]= 1/158004
Therefore, the GCF of 4934/756,3807/836 is 1/158004.
To find the highest common factor of 4934,3807, we have to find the factors of both numbers and list the highest common factor.
The factors of 4934 are 1, 2, 2467, 4934
The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The HCF of 4934,3807 is 1.
Lets's calculate GCF of 4934,3807
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4934,3807 By Matching Biggest Common Factor Method
Now, list down the factors of 4934
:1,2,2467,4934
Now, list down the factors of 3807
:1,3,9,27,47,81,141,423,1269,3807
Greatest Common Factor
We found the factors 4934,3807 . The biggest common factor number is the GCF number.
So the greatest common factor 4934,3807 is 1.
Lets's calculate LCM of 756,836
| 2 | 756, 836 |
| 2 | 378, 418 |
| 189, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 209 = 158004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158004
Therefore, the GCF of Fractions 4934/756,3807/836 is 1/158004
Least Common Multiple of 756,836 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 756,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,836) x common factors =4 x 1 = 4
LCM(756,836) = ( 756 × 836 ) / 4
LCM(756,836) = 632016 / 4
LCM(756,836) = 158004
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FAQs on GCF of Fractions of 4934/756, 3807/836
1. What is the HCF of 4934,3807?
The HCF of 4934,3807 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 4934/756, 3807/836?
Answer: GCF of Numerators as per given numbers 4934/756, 3807/836 is
GCF of Numerators i.e. for 4934,3807 is 1
LCM of denominators i.e. for 756,836 is 158004.
Thus, GCF of Fractions is 1/158004.Finally, GCF of Fractions for 4934/756, 3807/836 is 1/158004.