GCF of 3100/914, 9694/4448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3100/914, 9694/4448 i.e 2/2032736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3100/914, 9694/4448.
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 3100/914,9694/4448?
Given fractions are 3100/914,9694/4448
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 3100/914,9694/4448, numerators are 3100,9694
Denominators are 914,4448
The GCF of 3100,9694 is 2 .
LCM of 914,4448 is 2032736.
The greatest common factor of 3100/914,9694/4448 = [GCF of 3100,9694]/[LCM of 914,4448]= 2/2032736
Therefore, the GCF of 3100/914,9694/4448 is 2/2032736.
To find the highest common factor of 3100,9694, we have to find the factors of both numbers and list the highest common factor.
The factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The HCF of 3100,9694 is 2.
Lets's calculate GCF of 3100,9694
| 2 | 3100, 9694 |
| 1550, 4847 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3100,9694 By Matching Biggest Common Factor Method
Now, list down the factors of 3100
:1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Greatest Common Factor
We found the factors 3100,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 3100,9694 is 2.
Lets's calculate LCM of 914,4448
| 2 | 914, 4448 |
| 457, 2224 |
∴ So the LCM of the given numbers is 2 x 457 x 2224 = 2032736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2032736
Therefore, the GCF of Fractions 3100/914,9694/4448 is 2/2032736
Least Common Multiple of 914,4448 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 914,4448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,4448) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,4448) x common factors =2 x 1 = 2
LCM(914,4448) = ( 914 × 4448 ) / 2
LCM(914,4448) = 4065472 / 2
LCM(914,4448) = 2032736
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FAQs on GCF of Fractions of 3100/914, 9694/4448
1. What is the HCF of 3100,9694?
The HCF of 3100,9694 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 3100/914, 9694/4448?
Answer: GCF of Numerators as per given numbers 3100/914, 9694/4448 is
GCF of Numerators i.e. for 3100,9694 is 2
LCM of denominators i.e. for 914,4448 is 2032736.
Thus, GCF of Fractions is 2/2032736.Finally, GCF of Fractions for 3100/914, 9694/4448 is 2/2032736.