GCF of 1124/769, 1049/1887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1124/769, 1049/1887 i.e 1/1451103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1124/769, 1049/1887.
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 1124/769,1049/1887?
Given fractions are 1124/769,1049/1887
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 1124/769,1049/1887, numerators are 1124,1049
Denominators are 769,1887
The GCF of 1124,1049 is 1 .
LCM of 769,1887 is 1451103.
The greatest common factor of 1124/769,1049/1887 = [GCF of 1124,1049]/[LCM of 769,1887]= 1/1451103
Therefore, the GCF of 1124/769,1049/1887 is 1/1451103.
To find the highest common factor of 1124,1049, we have to find the factors of both numbers and list the highest common factor.
The factors of 1124 are 1, 2, 4, 281, 562, 1124
The factors of 1049 are 1, 1049
The HCF of 1124,1049 is 1.
Lets's calculate GCF of 1124,1049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1124,1049 By Matching Biggest Common Factor Method
Now, list down the factors of 1124
:1,2,4,281,562,1124
Now, list down the factors of 1049
:1,1049
Greatest Common Factor
We found the factors 1124,1049 . The biggest common factor number is the GCF number.
So the greatest common factor 1124,1049 is 1.
Lets's calculate LCM of 769,1887
Given numbers has no common factors except 1. So, there LCM is their product i.e 1451103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1451103
Therefore, the GCF of Fractions 1124/769,1049/1887 is 1/1451103
Least Common Multiple of 769,1887 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 769,1887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,1887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,1887) x common factors =1 x 1 = 1
LCM(769,1887) = ( 769 × 1887 ) / 1
LCM(769,1887) = 1451103 / 1
LCM(769,1887) = 1451103
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FAQs on GCF of Fractions of 1124/769, 1049/1887
1. What is the HCF of 1124,1049?
The HCF of 1124,1049 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 1124/769, 1049/1887?
Answer: GCF of Numerators as per given numbers 1124/769, 1049/1887 is
GCF of Numerators i.e. for 1124,1049 is 1
LCM of denominators i.e. for 769,1887 is 1451103.
Thus, GCF of Fractions is 1/1451103.Finally, GCF of Fractions for 1124/769, 1049/1887 is 1/1451103.