GCF of 4894/972, 3091/4262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4894/972, 3091/4262 i.e 1/2071332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4894/972, 3091/4262.
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 4894/972,3091/4262?
Given fractions are 4894/972,3091/4262
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 4894/972,3091/4262, numerators are 4894,3091
Denominators are 972,4262
The GCF of 4894,3091 is 1 .
LCM of 972,4262 is 2071332.
The greatest common factor of 4894/972,3091/4262 = [GCF of 4894,3091]/[LCM of 972,4262]= 1/2071332
Therefore, the GCF of 4894/972,3091/4262 is 1/2071332.
To find the highest common factor of 4894,3091, we have to find the factors of both numbers and list the highest common factor.
The factors of 4894 are 1, 2, 2447, 4894
The factors of 3091 are 1, 11, 281, 3091
The HCF of 4894,3091 is 1.
Lets's calculate GCF of 4894,3091
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4894,3091 By Matching Biggest Common Factor Method
Now, list down the factors of 4894
:1,2,2447,4894
Now, list down the factors of 3091
:1,11,281,3091
Greatest Common Factor
We found the factors 4894,3091 . The biggest common factor number is the GCF number.
So the greatest common factor 4894,3091 is 1.
Lets's calculate LCM of 972,4262
| 2 | 972, 4262 |
| 486, 2131 |
∴ So the LCM of the given numbers is 2 x 486 x 2131 = 2071332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2071332
Therefore, the GCF of Fractions 4894/972,3091/4262 is 1/2071332
Least Common Multiple of 972,4262 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 972,4262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,4262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,4262) x common factors =2 x 1 = 2
LCM(972,4262) = ( 972 × 4262 ) / 2
LCM(972,4262) = 4142664 / 2
LCM(972,4262) = 2071332
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FAQs on GCF of Fractions of 4894/972, 3091/4262
1. What is the HCF of 4894,3091?
The HCF of 4894,3091 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 4894/972, 3091/4262?
Answer: GCF of Numerators as per given numbers 4894/972, 3091/4262 is
GCF of Numerators i.e. for 4894,3091 is 1
LCM of denominators i.e. for 972,4262 is 2071332.
Thus, GCF of Fractions is 1/2071332.Finally, GCF of Fractions for 4894/972, 3091/4262 is 1/2071332.