GCF of 1882/554, 8373/901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1882/554, 8373/901 i.e 1/499154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1882/554, 8373/901.
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 1882/554,8373/901?
Given fractions are 1882/554,8373/901
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 1882/554,8373/901, numerators are 1882,8373
Denominators are 554,901
The GCF of 1882,8373 is 1 .
LCM of 554,901 is 499154.
The greatest common factor of 1882/554,8373/901 = [GCF of 1882,8373]/[LCM of 554,901]= 1/499154
Therefore, the GCF of 1882/554,8373/901 is 1/499154.
To find the highest common factor of 1882,8373, we have to find the factors of both numbers and list the highest common factor.
The factors of 1882 are 1, 2, 941, 1882
The factors of 8373 are 1, 3, 2791, 8373
The HCF of 1882,8373 is 1.
Lets's calculate GCF of 1882,8373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1882,8373 By Matching Biggest Common Factor Method
Now, list down the factors of 1882
:1,2,941,1882
Now, list down the factors of 8373
:1,3,2791,8373
Greatest Common Factor
We found the factors 1882,8373 . The biggest common factor number is the GCF number.
So the greatest common factor 1882,8373 is 1.
Lets's calculate LCM of 554,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 499154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499154
Therefore, the GCF of Fractions 1882/554,8373/901 is 1/499154
Least Common Multiple of 554,901 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 554,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,901) x common factors =1 x 1 = 1
LCM(554,901) = ( 554 × 901 ) / 1
LCM(554,901) = 499154 / 1
LCM(554,901) = 499154
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FAQs on GCF of Fractions of 1882/554, 8373/901
1. What is the HCF of 1882,8373?
The HCF of 1882,8373 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 1882/554, 8373/901?
Answer: GCF of Numerators as per given numbers 1882/554, 8373/901 is
GCF of Numerators i.e. for 1882,8373 is 1
LCM of denominators i.e. for 554,901 is 499154.
Thus, GCF of Fractions is 1/499154.Finally, GCF of Fractions for 1882/554, 8373/901 is 1/499154.