GCF of 1879/178, 9749/601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1879/178, 9749/601 i.e 1/106978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1879/178, 9749/601.
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 1879/178,9749/601?
Given fractions are 1879/178,9749/601
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 1879/178,9749/601, numerators are 1879,9749
Denominators are 178,601
The GCF of 1879,9749 is 1 .
LCM of 178,601 is 106978.
The greatest common factor of 1879/178,9749/601 = [GCF of 1879,9749]/[LCM of 178,601]= 1/106978
Therefore, the GCF of 1879/178,9749/601 is 1/106978.
To find the highest common factor of 1879,9749, we have to find the factors of both numbers and list the highest common factor.
The factors of 1879 are 1, 1879
The factors of 9749 are 1, 9749
The HCF of 1879,9749 is 1.
Lets's calculate GCF of 1879,9749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1879,9749 By Matching Biggest Common Factor Method
Now, list down the factors of 1879
:1,1879
Now, list down the factors of 9749
:1,9749
Greatest Common Factor
We found the factors 1879,9749 . The biggest common factor number is the GCF number.
So the greatest common factor 1879,9749 is 1.
Lets's calculate LCM of 178,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 106978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106978
Therefore, the GCF of Fractions 1879/178,9749/601 is 1/106978
Least Common Multiple of 178,601 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 178,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,601) x common factors =1 x 1 = 1
LCM(178,601) = ( 178 × 601 ) / 1
LCM(178,601) = 106978 / 1
LCM(178,601) = 106978
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FAQs on GCF of Fractions of 1879/178, 9749/601
1. What is the HCF of 1879,9749?
The HCF of 1879,9749 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 1879/178, 9749/601?
Answer: GCF of Numerators as per given numbers 1879/178, 9749/601 is
GCF of Numerators i.e. for 1879,9749 is 1
LCM of denominators i.e. for 178,601 is 106978.
Thus, GCF of Fractions is 1/106978.Finally, GCF of Fractions for 1879/178, 9749/601 is 1/106978.