GCF of 9292/314, 4921/4674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9292/314, 4921/4674 i.e 1/733818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9292/314, 4921/4674.
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 9292/314,4921/4674?
Given fractions are 9292/314,4921/4674
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 9292/314,4921/4674, numerators are 9292,4921
Denominators are 314,4674
The GCF of 9292,4921 is 1 .
LCM of 314,4674 is 733818.
The greatest common factor of 9292/314,4921/4674 = [GCF of 9292,4921]/[LCM of 314,4674]= 1/733818
Therefore, the GCF of 9292/314,4921/4674 is 1/733818.
To find the highest common factor of 9292,4921, we have to find the factors of both numbers and list the highest common factor.
The factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292
The factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921
The HCF of 9292,4921 is 1.
Lets's calculate GCF of 9292,4921
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9292,4921 By Matching Biggest Common Factor Method
Now, list down the factors of 9292
:1,2,4,23,46,92,101,202,404,2323,4646,9292
Now, list down the factors of 4921
:1,7,19,37,133,259,703,4921
Greatest Common Factor
We found the factors 9292,4921 . The biggest common factor number is the GCF number.
So the greatest common factor 9292,4921 is 1.
Lets's calculate LCM of 314,4674
| 2 | 314, 4674 |
| 157, 2337 |
∴ So the LCM of the given numbers is 2 x 157 x 2337 = 733818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/733818
Therefore, the GCF of Fractions 9292/314,4921/4674 is 1/733818
Least Common Multiple of 314,4674 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 314,4674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,4674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,4674) x common factors =2 x 1 = 2
LCM(314,4674) = ( 314 × 4674 ) / 2
LCM(314,4674) = 1467636 / 2
LCM(314,4674) = 733818
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FAQs on GCF of Fractions of 9292/314, 4921/4674
1. What is the HCF of 9292,4921?
The HCF of 9292,4921 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 9292/314, 4921/4674?
Answer: GCF of Numerators as per given numbers 9292/314, 4921/4674 is
GCF of Numerators i.e. for 9292,4921 is 1
LCM of denominators i.e. for 314,4674 is 733818.
Thus, GCF of Fractions is 1/733818.Finally, GCF of Fractions for 9292/314, 4921/4674 is 1/733818.