GCF of 3312/658, 4961/7297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3312/658, 4961/7297 i.e 1/4801426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3312/658, 4961/7297.
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 3312/658,4961/7297?
Given fractions are 3312/658,4961/7297
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 3312/658,4961/7297, numerators are 3312,4961
Denominators are 658,7297
The GCF of 3312,4961 is 1 .
LCM of 658,7297 is 4801426.
The greatest common factor of 3312/658,4961/7297 = [GCF of 3312,4961]/[LCM of 658,7297]= 1/4801426
Therefore, the GCF of 3312/658,4961/7297 is 1/4801426.
To find the highest common factor of 3312,4961, we have to find the factors of both numbers and list the highest common factor.
The factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312
The factors of 4961 are 1, 11, 41, 121, 451, 4961
The HCF of 3312,4961 is 1.
Lets's calculate GCF of 3312,4961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3312,4961 By Matching Biggest Common Factor Method
Now, list down the factors of 3312
:1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312
Now, list down the factors of 4961
:1,11,41,121,451,4961
Greatest Common Factor
We found the factors 3312,4961 . The biggest common factor number is the GCF number.
So the greatest common factor 3312,4961 is 1.
Lets's calculate LCM of 658,7297
Given numbers has no common factors except 1. So, there LCM is their product i.e 4801426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4801426
Therefore, the GCF of Fractions 3312/658,4961/7297 is 1/4801426
Least Common Multiple of 658,7297 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 658,7297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,7297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,7297) x common factors =1 x 1 = 1
LCM(658,7297) = ( 658 × 7297 ) / 1
LCM(658,7297) = 4801426 / 1
LCM(658,7297) = 4801426
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3312/658, 4961/7297
1. What is the HCF of 3312,4961?
The HCF of 3312,4961 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 3312/658, 4961/7297?
Answer: GCF of Numerators as per given numbers 3312/658, 4961/7297 is
GCF of Numerators i.e. for 3312,4961 is 1
LCM of denominators i.e. for 658,7297 is 4801426.
Thus, GCF of Fractions is 1/4801426.Finally, GCF of Fractions for 3312/658, 4961/7297 is 1/4801426.