GCF of 2535/100, 4874/7505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2535/100, 4874/7505 i.e 1/150100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2535/100, 4874/7505.
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 2535/100,4874/7505?
Given fractions are 2535/100,4874/7505
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 2535/100,4874/7505, numerators are 2535,4874
Denominators are 100,7505
The GCF of 2535,4874 is 1 .
LCM of 100,7505 is 150100.
The greatest common factor of 2535/100,4874/7505 = [GCF of 2535,4874]/[LCM of 100,7505]= 1/150100
Therefore, the GCF of 2535/100,4874/7505 is 1/150100.
To find the highest common factor of 2535,4874, we have to find the factors of both numbers and list the highest common factor.
The factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535
The factors of 4874 are 1, 2, 2437, 4874
The HCF of 2535,4874 is 1.
Lets's calculate GCF of 2535,4874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2535,4874 By Matching Biggest Common Factor Method
Now, list down the factors of 2535
:1,3,5,13,15,39,65,169,195,507,845,2535
Now, list down the factors of 4874
:1,2,2437,4874
Greatest Common Factor
We found the factors 2535,4874 . The biggest common factor number is the GCF number.
So the greatest common factor 2535,4874 is 1.
Lets's calculate LCM of 100,7505
| 5 | 100, 7505 |
| 20, 1501 |
∴ So the LCM of the given numbers is 5 x 20 x 1501 = 150100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150100
Therefore, the GCF of Fractions 2535/100,4874/7505 is 1/150100
Least Common Multiple of 100,7505 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 100,7505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,7505) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(100,7505) x common factors =5 x 1 = 5
LCM(100,7505) = ( 100 × 7505 ) / 5
LCM(100,7505) = 750500 / 5
LCM(100,7505) = 150100
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FAQs on GCF of Fractions of 2535/100, 4874/7505
1. What is the HCF of 2535,4874?
The HCF of 2535,4874 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 2535/100, 4874/7505?
Answer: GCF of Numerators as per given numbers 2535/100, 4874/7505 is
GCF of Numerators i.e. for 2535,4874 is 1
LCM of denominators i.e. for 100,7505 is 150100.
Thus, GCF of Fractions is 1/150100.Finally, GCF of Fractions for 2535/100, 4874/7505 is 1/150100.