GCF of 8970/971, 5893/7445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8970/971, 5893/7445 i.e 1/7229095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8970/971, 5893/7445.
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 8970/971,5893/7445?
Given fractions are 8970/971,5893/7445
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 8970/971,5893/7445, numerators are 8970,5893
Denominators are 971,7445
The GCF of 8970,5893 is 1 .
LCM of 971,7445 is 7229095.
The greatest common factor of 8970/971,5893/7445 = [GCF of 8970,5893]/[LCM of 971,7445]= 1/7229095
Therefore, the GCF of 8970/971,5893/7445 is 1/7229095.
To find the highest common factor of 8970,5893, we have to find the factors of both numbers and list the highest common factor.
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The factors of 5893 are 1, 71, 83, 5893
The HCF of 8970,5893 is 1.
Lets's calculate GCF of 8970,5893
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8970,5893 By Matching Biggest Common Factor Method
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Now, list down the factors of 5893
:1,71,83,5893
Greatest Common Factor
We found the factors 8970,5893 . The biggest common factor number is the GCF number.
So the greatest common factor 8970,5893 is 1.
Lets's calculate LCM of 971,7445
Given numbers has no common factors except 1. So, there LCM is their product i.e 7229095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7229095
Therefore, the GCF of Fractions 8970/971,5893/7445 is 1/7229095
Least Common Multiple of 971,7445 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 971,7445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,7445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,7445) x common factors =1 x 1 = 1
LCM(971,7445) = ( 971 × 7445 ) / 1
LCM(971,7445) = 7229095 / 1
LCM(971,7445) = 7229095
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FAQs on GCF of Fractions of 8970/971, 5893/7445
1. What is the HCF of 8970,5893?
The HCF of 8970,5893 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 8970/971, 5893/7445?
Answer: GCF of Numerators as per given numbers 8970/971, 5893/7445 is
GCF of Numerators i.e. for 8970,5893 is 1
LCM of denominators i.e. for 971,7445 is 7229095.
Thus, GCF of Fractions is 1/7229095.Finally, GCF of Fractions for 8970/971, 5893/7445 is 1/7229095.