GCF of 1208/281, 1403/1759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1208/281, 1403/1759 i.e 1/494279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1208/281, 1403/1759.
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 1208/281,1403/1759?
Given fractions are 1208/281,1403/1759
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 1208/281,1403/1759, numerators are 1208,1403
Denominators are 281,1759
The GCF of 1208,1403 is 1 .
LCM of 281,1759 is 494279.
The greatest common factor of 1208/281,1403/1759 = [GCF of 1208,1403]/[LCM of 281,1759]= 1/494279
Therefore, the GCF of 1208/281,1403/1759 is 1/494279.
To find the highest common factor of 1208,1403, we have to find the factors of both numbers and list the highest common factor.
The factors of 1208 are 1, 2, 4, 8, 151, 302, 604, 1208
The factors of 1403 are 1, 23, 61, 1403
The HCF of 1208,1403 is 1.
Lets's calculate GCF of 1208,1403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1208,1403 By Matching Biggest Common Factor Method
Now, list down the factors of 1208
:1,2,4,8,151,302,604,1208
Now, list down the factors of 1403
:1,23,61,1403
Greatest Common Factor
We found the factors 1208,1403 . The biggest common factor number is the GCF number.
So the greatest common factor 1208,1403 is 1.
Lets's calculate LCM of 281,1759
Given numbers has no common factors except 1. So, there LCM is their product i.e 494279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494279
Therefore, the GCF of Fractions 1208/281,1403/1759 is 1/494279
Least Common Multiple of 281,1759 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 281,1759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,1759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,1759) x common factors =1 x 1 = 1
LCM(281,1759) = ( 281 × 1759 ) / 1
LCM(281,1759) = 494279 / 1
LCM(281,1759) = 494279
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FAQs on GCF of Fractions of 1208/281, 1403/1759
1. What is the HCF of 1208,1403?
The HCF of 1208,1403 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 1208/281, 1403/1759?
Answer: GCF of Numerators as per given numbers 1208/281, 1403/1759 is
GCF of Numerators i.e. for 1208,1403 is 1
LCM of denominators i.e. for 281,1759 is 494279.
Thus, GCF of Fractions is 1/494279.Finally, GCF of Fractions for 1208/281, 1403/1759 is 1/494279.