GCF of 1903/782, 7973/7500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1903/782, 7973/7500 i.e 1/2932500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1903/782, 7973/7500.
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 1903/782,7973/7500?
Given fractions are 1903/782,7973/7500
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 1903/782,7973/7500, numerators are 1903,7973
Denominators are 782,7500
The GCF of 1903,7973 is 1 .
LCM of 782,7500 is 2932500.
The greatest common factor of 1903/782,7973/7500 = [GCF of 1903,7973]/[LCM of 782,7500]= 1/2932500
Therefore, the GCF of 1903/782,7973/7500 is 1/2932500.
To find the highest common factor of 1903,7973, we have to find the factors of both numbers and list the highest common factor.
The factors of 1903 are 1, 11, 173, 1903
The factors of 7973 are 1, 7, 17, 67, 119, 469, 1139, 7973
The HCF of 1903,7973 is 1.
Lets's calculate GCF of 1903,7973
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1903,7973 By Matching Biggest Common Factor Method
Now, list down the factors of 1903
:1,11,173,1903
Now, list down the factors of 7973
:1,7,17,67,119,469,1139,7973
Greatest Common Factor
We found the factors 1903,7973 . The biggest common factor number is the GCF number.
So the greatest common factor 1903,7973 is 1.
Lets's calculate LCM of 782,7500
| 2 | 782, 7500 |
| 391, 3750 |
∴ So the LCM of the given numbers is 2 x 391 x 3750 = 2932500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2932500
Therefore, the GCF of Fractions 1903/782,7973/7500 is 1/2932500
Least Common Multiple of 782,7500 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 782,7500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,7500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,7500) x common factors =2 x 1 = 2
LCM(782,7500) = ( 782 × 7500 ) / 2
LCM(782,7500) = 5865000 / 2
LCM(782,7500) = 2932500
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FAQs on GCF of Fractions of 1903/782, 7973/7500
1. What is the HCF of 1903,7973?
The HCF of 1903,7973 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 1903/782, 7973/7500?
Answer: GCF of Numerators as per given numbers 1903/782, 7973/7500 is
GCF of Numerators i.e. for 1903,7973 is 1
LCM of denominators i.e. for 782,7500 is 2932500.
Thus, GCF of Fractions is 1/2932500.Finally, GCF of Fractions for 1903/782, 7973/7500 is 1/2932500.