GCF of 2027/847, 9388/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2027/847, 9388/705 i.e 1/597135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2027/847, 9388/705.
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 2027/847,9388/705?
Given fractions are 2027/847,9388/705
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 2027/847,9388/705, numerators are 2027,9388
Denominators are 847,705
The GCF of 2027,9388 is 1 .
LCM of 847,705 is 597135.
The greatest common factor of 2027/847,9388/705 = [GCF of 2027,9388]/[LCM of 847,705]= 1/597135
Therefore, the GCF of 2027/847,9388/705 is 1/597135.
To find the highest common factor of 2027,9388, we have to find the factors of both numbers and list the highest common factor.
The factors of 2027 are 1, 2027
The factors of 9388 are 1, 2, 4, 2347, 4694, 9388
The HCF of 2027,9388 is 1.
Lets's calculate GCF of 2027,9388
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2027,9388 By Matching Biggest Common Factor Method
Now, list down the factors of 2027
:1,2027
Now, list down the factors of 9388
:1,2,4,2347,4694,9388
Greatest Common Factor
We found the factors 2027,9388 . The biggest common factor number is the GCF number.
So the greatest common factor 2027,9388 is 1.
Lets's calculate LCM of 847,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 597135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597135
Therefore, the GCF of Fractions 2027/847,9388/705 is 1/597135
Least Common Multiple of 847,705 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 847,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,705) x common factors =1 x 1 = 1
LCM(847,705) = ( 847 × 705 ) / 1
LCM(847,705) = 597135 / 1
LCM(847,705) = 597135
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FAQs on GCF of Fractions of 2027/847, 9388/705
1. What is the HCF of 2027,9388?
The HCF of 2027,9388 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 2027/847, 9388/705?
Answer: GCF of Numerators as per given numbers 2027/847, 9388/705 is
GCF of Numerators i.e. for 2027,9388 is 1
LCM of denominators i.e. for 847,705 is 597135.
Thus, GCF of Fractions is 1/597135.Finally, GCF of Fractions for 2027/847, 9388/705 is 1/597135.