GCF of 1237/126, 4302/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1237/126, 4302/629 i.e 1/79254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1237/126, 4302/629.
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 1237/126,4302/629?
Given fractions are 1237/126,4302/629
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 1237/126,4302/629, numerators are 1237,4302
Denominators are 126,629
The GCF of 1237,4302 is 1 .
LCM of 126,629 is 79254.
The greatest common factor of 1237/126,4302/629 = [GCF of 1237,4302]/[LCM of 126,629]= 1/79254
Therefore, the GCF of 1237/126,4302/629 is 1/79254.
To find the highest common factor of 1237,4302, we have to find the factors of both numbers and list the highest common factor.
The factors of 1237 are 1, 1237
The factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302
The HCF of 1237,4302 is 1.
Lets's calculate GCF of 1237,4302
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1237,4302 By Matching Biggest Common Factor Method
Now, list down the factors of 1237
:1,1237
Now, list down the factors of 4302
:1,2,3,6,9,18,239,478,717,1434,2151,4302
Greatest Common Factor
We found the factors 1237,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 1237,4302 is 1.
Lets's calculate LCM of 126,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 79254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79254
Therefore, the GCF of Fractions 1237/126,4302/629 is 1/79254
Least Common Multiple of 126,629 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 126,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,629) x common factors =1 x 1 = 1
LCM(126,629) = ( 126 × 629 ) / 1
LCM(126,629) = 79254 / 1
LCM(126,629) = 79254
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FAQs on GCF of Fractions of 1237/126, 4302/629
1. What is the HCF of 1237,4302?
The HCF of 1237,4302 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 1237/126, 4302/629?
Answer: GCF of Numerators as per given numbers 1237/126, 4302/629 is
GCF of Numerators i.e. for 1237,4302 is 1
LCM of denominators i.e. for 126,629 is 79254.
Thus, GCF of Fractions is 1/79254.Finally, GCF of Fractions for 1237/126, 4302/629 is 1/79254.