GCF of 1577/178, 8638/1271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1577/178, 8638/1271 i.e 1/226238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1577/178, 8638/1271.
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 1577/178,8638/1271?
Given fractions are 1577/178,8638/1271
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 1577/178,8638/1271, numerators are 1577,8638
Denominators are 178,1271
The GCF of 1577,8638 is 1 .
LCM of 178,1271 is 226238.
The greatest common factor of 1577/178,8638/1271 = [GCF of 1577,8638]/[LCM of 178,1271]= 1/226238
Therefore, the GCF of 1577/178,8638/1271 is 1/226238.
To find the highest common factor of 1577,8638, we have to find the factors of both numbers and list the highest common factor.
The factors of 1577 are 1, 19, 83, 1577
The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The HCF of 1577,8638 is 1.
Lets's calculate GCF of 1577,8638
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1577,8638 By Matching Biggest Common Factor Method
Now, list down the factors of 1577
:1,19,83,1577
Now, list down the factors of 8638
:1,2,7,14,617,1234,4319,8638
Greatest Common Factor
We found the factors 1577,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 1577,8638 is 1.
Lets's calculate LCM of 178,1271
Given numbers has no common factors except 1. So, there LCM is their product i.e 226238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226238
Therefore, the GCF of Fractions 1577/178,8638/1271 is 1/226238
Least Common Multiple of 178,1271 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 178,1271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,1271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,1271) x common factors =1 x 1 = 1
LCM(178,1271) = ( 178 × 1271 ) / 1
LCM(178,1271) = 226238 / 1
LCM(178,1271) = 226238
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FAQs on GCF of Fractions of 1577/178, 8638/1271
1. What is the HCF of 1577,8638?
The HCF of 1577,8638 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 1577/178, 8638/1271?
Answer: GCF of Numerators as per given numbers 1577/178, 8638/1271 is
GCF of Numerators i.e. for 1577,8638 is 1
LCM of denominators i.e. for 178,1271 is 226238.
Thus, GCF of Fractions is 1/226238.Finally, GCF of Fractions for 1577/178, 8638/1271 is 1/226238.