GCF of 3021/282, 4915/591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3021/282, 4915/591 i.e 1/55554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3021/282, 4915/591.
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 3021/282,4915/591?
Given fractions are 3021/282,4915/591
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 3021/282,4915/591, numerators are 3021,4915
Denominators are 282,591
The GCF of 3021,4915 is 1 .
LCM of 282,591 is 55554.
The greatest common factor of 3021/282,4915/591 = [GCF of 3021,4915]/[LCM of 282,591]= 1/55554
Therefore, the GCF of 3021/282,4915/591 is 1/55554.
To find the highest common factor of 3021,4915, we have to find the factors of both numbers and list the highest common factor.
The factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021
The factors of 4915 are 1, 5, 983, 4915
The HCF of 3021,4915 is 1.
Lets's calculate GCF of 3021,4915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3021,4915 By Matching Biggest Common Factor Method
Now, list down the factors of 3021
:1,3,19,53,57,159,1007,3021
Now, list down the factors of 4915
:1,5,983,4915
Greatest Common Factor
We found the factors 3021,4915 . The biggest common factor number is the GCF number.
So the greatest common factor 3021,4915 is 1.
Lets's calculate LCM of 282,591
| 3 | 282, 591 |
| 94, 197 |
∴ So the LCM of the given numbers is 3 x 94 x 197 = 55554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55554
Therefore, the GCF of Fractions 3021/282,4915/591 is 1/55554
Least Common Multiple of 282,591 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 282,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(282,591) x common factors =3 x 1 = 3
LCM(282,591) = ( 282 × 591 ) / 3
LCM(282,591) = 166662 / 3
LCM(282,591) = 55554
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FAQs on GCF of Fractions of 3021/282, 4915/591
1. What is the HCF of 3021,4915?
The HCF of 3021,4915 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 3021/282, 4915/591?
Answer: GCF of Numerators as per given numbers 3021/282, 4915/591 is
GCF of Numerators i.e. for 3021,4915 is 1
LCM of denominators i.e. for 282,591 is 55554.
Thus, GCF of Fractions is 1/55554.Finally, GCF of Fractions for 3021/282, 4915/591 is 1/55554.