GCF of 4950/101, 2538/653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4950/101, 2538/653 i.e 18/65953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4950/101, 2538/653.
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 4950/101,2538/653?
Given fractions are 4950/101,2538/653
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 4950/101,2538/653, numerators are 4950,2538
Denominators are 101,653
The GCF of 4950,2538 is 18 .
LCM of 101,653 is 65953.
The greatest common factor of 4950/101,2538/653 = [GCF of 4950,2538]/[LCM of 101,653]= 18/65953
Therefore, the GCF of 4950/101,2538/653 is 18/65953.
To find the highest common factor of 4950,2538, we have to find the factors of both numbers and list the highest common factor.
The factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950
The factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538
The HCF of 4950,2538 is 18.
Lets's calculate GCF of 4950,2538
| 2 | 4950, 2538 |
| 3 | 2475, 1269 |
| 3 | 825, 423 |
| 275, 141 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 4950,2538 By Matching Biggest Common Factor Method
Now, list down the factors of 4950
:1,2,3,5,6,9,10,11,15,18,22,25,30,33,45,50,55,66,75,90,99,110,150,165,198,225,275,330,450,495,550,825,990,1650,2475,4950
Now, list down the factors of 2538
:1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Greatest Common Factor
We found the factors 4950,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 4950,2538 is 18.
Lets's calculate LCM of 101,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 65953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/65953
Therefore, the GCF of Fractions 4950/101,2538/653 is 18/65953
Least Common Multiple of 101,653 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 101,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,653) x common factors =1 x 1 = 1
LCM(101,653) = ( 101 × 653 ) / 1
LCM(101,653) = 65953 / 1
LCM(101,653) = 65953
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FAQs on GCF of Fractions of 4950/101, 2538/653
1. What is the HCF of 4950,2538?
The HCF of 4950,2538 is 18
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 4950/101, 2538/653?
Answer: GCF of Numerators as per given numbers 4950/101, 2538/653 is
GCF of Numerators i.e. for 4950,2538 is 18
LCM of denominators i.e. for 101,653 is 65953.
Thus, GCF of Fractions is 18/65953.Finally, GCF of Fractions for 4950/101, 2538/653 is 18/65953.