GCF of 1480/995, 1151/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1480/995, 1151/789 i.e 1/785055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1480/995, 1151/789.
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 1480/995,1151/789?
Given fractions are 1480/995,1151/789
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 1480/995,1151/789, numerators are 1480,1151
Denominators are 995,789
The GCF of 1480,1151 is 1 .
LCM of 995,789 is 785055.
The greatest common factor of 1480/995,1151/789 = [GCF of 1480,1151]/[LCM of 995,789]= 1/785055
Therefore, the GCF of 1480/995,1151/789 is 1/785055.
To find the highest common factor of 1480,1151, we have to find the factors of both numbers and list the highest common factor.
The factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
The factors of 1151 are 1, 1151
The HCF of 1480,1151 is 1.
Lets's calculate GCF of 1480,1151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1480,1151 By Matching Biggest Common Factor Method
Now, list down the factors of 1480
:1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
Now, list down the factors of 1151
:1,1151
Greatest Common Factor
We found the factors 1480,1151 . The biggest common factor number is the GCF number.
So the greatest common factor 1480,1151 is 1.
Lets's calculate LCM of 995,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 785055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785055
Therefore, the GCF of Fractions 1480/995,1151/789 is 1/785055
Least Common Multiple of 995,789 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 995,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,789) x common factors =1 x 1 = 1
LCM(995,789) = ( 995 × 789 ) / 1
LCM(995,789) = 785055 / 1
LCM(995,789) = 785055
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FAQs on GCF of Fractions of 1480/995, 1151/789
1. What is the HCF of 1480,1151?
The HCF of 1480,1151 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 1480/995, 1151/789?
Answer: GCF of Numerators as per given numbers 1480/995, 1151/789 is
GCF of Numerators i.e. for 1480,1151 is 1
LCM of denominators i.e. for 995,789 is 785055.
Thus, GCF of Fractions is 1/785055.Finally, GCF of Fractions for 1480/995, 1151/789 is 1/785055.