GCF of 1954/608, 1082/2504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1954/608, 1082/2504 i.e 2/190304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1954/608, 1082/2504.
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 1954/608,1082/2504?
Given fractions are 1954/608,1082/2504
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 1954/608,1082/2504, numerators are 1954,1082
Denominators are 608,2504
The GCF of 1954,1082 is 2 .
LCM of 608,2504 is 190304.
The greatest common factor of 1954/608,1082/2504 = [GCF of 1954,1082]/[LCM of 608,2504]= 2/190304
Therefore, the GCF of 1954/608,1082/2504 is 2/190304.
To find the highest common factor of 1954,1082, 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 1082 are 1, 2, 541, 1082
The HCF of 1954,1082 is 2.
Lets's calculate GCF of 1954,1082
| 2 | 1954, 1082 |
| 977, 541 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1954,1082 By Matching Biggest Common Factor Method
Now, list down the factors of 1954
:1,2,977,1954
Now, list down the factors of 1082
:1,2,541,1082
Greatest Common Factor
We found the factors 1954,1082 . The biggest common factor number is the GCF number.
So the greatest common factor 1954,1082 is 2.
Lets's calculate LCM of 608,2504
| 2 | 608, 2504 |
| 2 | 304, 1252 |
| 2 | 152, 626 |
| 76, 313 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 313 = 190304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190304
Therefore, the GCF of Fractions 1954/608,1082/2504 is 2/190304
Least Common Multiple of 608,2504 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 608,2504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,2504) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(608,2504) x common factors =8 x 1 = 8
LCM(608,2504) = ( 608 × 2504 ) / 8
LCM(608,2504) = 1522432 / 8
LCM(608,2504) = 190304
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FAQs on GCF of Fractions of 1954/608, 1082/2504
1. What is the HCF of 1954,1082?
The HCF of 1954,1082 is 2
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 1954/608, 1082/2504?
Answer: GCF of Numerators as per given numbers 1954/608, 1082/2504 is
GCF of Numerators i.e. for 1954,1082 is 2
LCM of denominators i.e. for 608,2504 is 190304.
Thus, GCF of Fractions is 2/190304.Finally, GCF of Fractions for 1954/608, 1082/2504 is 2/190304.