GCF of 4237/774, 9093/9932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4237/774, 9093/9932 i.e 1/3843684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4237/774, 9093/9932.
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 4237/774,9093/9932?
Given fractions are 4237/774,9093/9932
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 4237/774,9093/9932, numerators are 4237,9093
Denominators are 774,9932
The GCF of 4237,9093 is 1 .
LCM of 774,9932 is 3843684.
The greatest common factor of 4237/774,9093/9932 = [GCF of 4237,9093]/[LCM of 774,9932]= 1/3843684
Therefore, the GCF of 4237/774,9093/9932 is 1/3843684.
To find the highest common factor of 4237,9093, we have to find the factors of both numbers and list the highest common factor.
The factors of 4237 are 1, 19, 223, 4237
The factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093
The HCF of 4237,9093 is 1.
Lets's calculate GCF of 4237,9093
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4237,9093 By Matching Biggest Common Factor Method
Now, list down the factors of 4237
:1,19,223,4237
Now, list down the factors of 9093
:1,3,7,21,433,1299,3031,9093
Greatest Common Factor
We found the factors 4237,9093 . The biggest common factor number is the GCF number.
So the greatest common factor 4237,9093 is 1.
Lets's calculate LCM of 774,9932
| 2 | 774, 9932 |
| 387, 4966 |
∴ So the LCM of the given numbers is 2 x 387 x 4966 = 3843684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3843684
Therefore, the GCF of Fractions 4237/774,9093/9932 is 1/3843684
Least Common Multiple of 774,9932 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 774,9932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,9932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,9932) x common factors =2 x 1 = 2
LCM(774,9932) = ( 774 × 9932 ) / 2
LCM(774,9932) = 7687368 / 2
LCM(774,9932) = 3843684
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FAQs on GCF of Fractions of 4237/774, 9093/9932
1. What is the HCF of 4237,9093?
The HCF of 4237,9093 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 4237/774, 9093/9932?
Answer: GCF of Numerators as per given numbers 4237/774, 9093/9932 is
GCF of Numerators i.e. for 4237,9093 is 1
LCM of denominators i.e. for 774,9932 is 3843684.
Thus, GCF of Fractions is 1/3843684.Finally, GCF of Fractions for 4237/774, 9093/9932 is 1/3843684.