GCF of 6838/456, 1122/4734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6838/456, 1122/4734 i.e 2/359784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6838/456, 1122/4734.
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 6838/456,1122/4734?
Given fractions are 6838/456,1122/4734
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 6838/456,1122/4734, numerators are 6838,1122
Denominators are 456,4734
The GCF of 6838,1122 is 2 .
LCM of 456,4734 is 359784.
The greatest common factor of 6838/456,1122/4734 = [GCF of 6838,1122]/[LCM of 456,4734]= 2/359784
Therefore, the GCF of 6838/456,1122/4734 is 2/359784.
To find the highest common factor of 6838,1122, we have to find the factors of both numbers and list the highest common factor.
The factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838
The factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122
The HCF of 6838,1122 is 2.
Lets's calculate GCF of 6838,1122
| 2 | 6838, 1122 |
| 3419, 561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6838,1122 By Matching Biggest Common Factor Method
Now, list down the factors of 6838
:1,2,13,26,263,526,3419,6838
Now, list down the factors of 1122
:1,2,3,6,11,17,22,33,34,51,66,102,187,374,561,1122
Greatest Common Factor
We found the factors 6838,1122 . The biggest common factor number is the GCF number.
So the greatest common factor 6838,1122 is 2.
Lets's calculate LCM of 456,4734
| 2 | 456, 4734 |
| 3 | 228, 2367 |
| 76, 789 |
∴ So the LCM of the given numbers is 2 x 3 x 76 x 789 = 359784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/359784
Therefore, the GCF of Fractions 6838/456,1122/4734 is 2/359784
Least Common Multiple of 456,4734 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 456,4734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,4734) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(456,4734) x common factors =6 x 1 = 6
LCM(456,4734) = ( 456 × 4734 ) / 6
LCM(456,4734) = 2158704 / 6
LCM(456,4734) = 359784
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6838/456, 1122/4734
1. What is the HCF of 6838,1122?
The HCF of 6838,1122 is 2
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 6838/456, 1122/4734?
Answer: GCF of Numerators as per given numbers 6838/456, 1122/4734 is
GCF of Numerators i.e. for 6838,1122 is 2
LCM of denominators i.e. for 456,4734 is 359784.
Thus, GCF of Fractions is 2/359784.Finally, GCF of Fractions for 6838/456, 1122/4734 is 2/359784.