GCF of 1582/971, 7733/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1582/971, 7733/982 i.e 1/953522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1582/971, 7733/982.
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 1582/971,7733/982?
Given fractions are 1582/971,7733/982
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 1582/971,7733/982, numerators are 1582,7733
Denominators are 971,982
The GCF of 1582,7733 is 1 .
LCM of 971,982 is 953522.
The greatest common factor of 1582/971,7733/982 = [GCF of 1582,7733]/[LCM of 971,982]= 1/953522
Therefore, the GCF of 1582/971,7733/982 is 1/953522.
To find the highest common factor of 1582,7733, we have to find the factors of both numbers and list the highest common factor.
The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582
The factors of 7733 are 1, 11, 19, 37, 209, 407, 703, 7733
The HCF of 1582,7733 is 1.
Lets's calculate GCF of 1582,7733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1582,7733 By Matching Biggest Common Factor Method
Now, list down the factors of 1582
:1,2,7,14,113,226,791,1582
Now, list down the factors of 7733
:1,11,19,37,209,407,703,7733
Greatest Common Factor
We found the factors 1582,7733 . The biggest common factor number is the GCF number.
So the greatest common factor 1582,7733 is 1.
Lets's calculate LCM of 971,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 953522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/953522
Therefore, the GCF of Fractions 1582/971,7733/982 is 1/953522
Least Common Multiple of 971,982 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 971,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,982) x common factors =1 x 1 = 1
LCM(971,982) = ( 971 × 982 ) / 1
LCM(971,982) = 953522 / 1
LCM(971,982) = 953522
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FAQs on GCF of Fractions of 1582/971, 7733/982
1. What is the HCF of 1582,7733?
The HCF of 1582,7733 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 1582/971, 7733/982?
Answer: GCF of Numerators as per given numbers 1582/971, 7733/982 is
GCF of Numerators i.e. for 1582,7733 is 1
LCM of denominators i.e. for 971,982 is 953522.
Thus, GCF of Fractions is 1/953522.Finally, GCF of Fractions for 1582/971, 7733/982 is 1/953522.