GCF of 1954/702, 4037/2025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1954/702, 4037/2025 i.e 1/52650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1954/702, 4037/2025.
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 1954/702,4037/2025?
Given fractions are 1954/702,4037/2025
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 1954/702,4037/2025, numerators are 1954,4037
Denominators are 702,2025
The GCF of 1954,4037 is 1 .
LCM of 702,2025 is 52650.
The greatest common factor of 1954/702,4037/2025 = [GCF of 1954,4037]/[LCM of 702,2025]= 1/52650
Therefore, the GCF of 1954/702,4037/2025 is 1/52650.
To find the highest common factor of 1954,4037, we have to find the factors of both numbers and list the highest common factor.
The factors of 1954 are 1, 2, 977, 1954
The factors of 4037 are 1, 11, 367, 4037
The HCF of 1954,4037 is 1.
Lets's calculate GCF of 1954,4037
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1954,4037 By Matching Biggest Common Factor Method
Now, list down the factors of 1954
:1,2,977,1954
Now, list down the factors of 4037
:1,11,367,4037
Greatest Common Factor
We found the factors 1954,4037 . The biggest common factor number is the GCF number.
So the greatest common factor 1954,4037 is 1.
Lets's calculate LCM of 702,2025
| 3 | 702, 2025 |
| 3 | 234, 675 |
| 3 | 78, 225 |
| 26, 75 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 26 x 75 = 52650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52650
Therefore, the GCF of Fractions 1954/702,4037/2025 is 1/52650
Least Common Multiple of 702,2025 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 702,2025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,2025) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(702,2025) x common factors =27 x 1 = 27
LCM(702,2025) = ( 702 × 2025 ) / 27
LCM(702,2025) = 1421550 / 27
LCM(702,2025) = 52650
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FAQs on GCF of Fractions of 1954/702, 4037/2025
1. What is the HCF of 1954,4037?
The HCF of 1954,4037 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 1954/702, 4037/2025?
Answer: GCF of Numerators as per given numbers 1954/702, 4037/2025 is
GCF of Numerators i.e. for 1954,4037 is 1
LCM of denominators i.e. for 702,2025 is 52650.
Thus, GCF of Fractions is 1/52650.Finally, GCF of Fractions for 1954/702, 4037/2025 is 1/52650.