GCF of 5903/106, 9782/7268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5903/106, 9782/7268 i.e 1/385204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5903/106, 9782/7268.
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 5903/106,9782/7268?
Given fractions are 5903/106,9782/7268
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 5903/106,9782/7268, numerators are 5903,9782
Denominators are 106,7268
The GCF of 5903,9782 is 1 .
LCM of 106,7268 is 385204.
The greatest common factor of 5903/106,9782/7268 = [GCF of 5903,9782]/[LCM of 106,7268]= 1/385204
Therefore, the GCF of 5903/106,9782/7268 is 1/385204.
To find the highest common factor of 5903,9782, we have to find the factors of both numbers and list the highest common factor.
The factors of 5903 are 1, 5903
The factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782
The HCF of 5903,9782 is 1.
Lets's calculate GCF of 5903,9782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5903,9782 By Matching Biggest Common Factor Method
Now, list down the factors of 5903
:1,5903
Now, list down the factors of 9782
:1,2,67,73,134,146,4891,9782
Greatest Common Factor
We found the factors 5903,9782 . The biggest common factor number is the GCF number.
So the greatest common factor 5903,9782 is 1.
Lets's calculate LCM of 106,7268
| 2 | 106, 7268 |
| 53, 3634 |
∴ So the LCM of the given numbers is 2 x 53 x 3634 = 385204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385204
Therefore, the GCF of Fractions 5903/106,9782/7268 is 1/385204
Least Common Multiple of 106,7268 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 106,7268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,7268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,7268) x common factors =2 x 1 = 2
LCM(106,7268) = ( 106 × 7268 ) / 2
LCM(106,7268) = 770408 / 2
LCM(106,7268) = 385204
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FAQs on GCF of Fractions of 5903/106, 9782/7268
1. What is the HCF of 5903,9782?
The HCF of 5903,9782 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 5903/106, 9782/7268?
Answer: GCF of Numerators as per given numbers 5903/106, 9782/7268 is
GCF of Numerators i.e. for 5903,9782 is 1
LCM of denominators i.e. for 106,7268 is 385204.
Thus, GCF of Fractions is 1/385204.Finally, GCF of Fractions for 5903/106, 9782/7268 is 1/385204.