GCF of 1275/737, 5038/9708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1275/737, 5038/9708 i.e 1/7154796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1275/737, 5038/9708.
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 1275/737,5038/9708?
Given fractions are 1275/737,5038/9708
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 1275/737,5038/9708, numerators are 1275,5038
Denominators are 737,9708
The GCF of 1275,5038 is 1 .
LCM of 737,9708 is 7154796.
The greatest common factor of 1275/737,5038/9708 = [GCF of 1275,5038]/[LCM of 737,9708]= 1/7154796
Therefore, the GCF of 1275/737,5038/9708 is 1/7154796.
To find the highest common factor of 1275,5038, we have to find the factors of both numbers and list the highest common factor.
The factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
The factors of 5038 are 1, 2, 11, 22, 229, 458, 2519, 5038
The HCF of 1275,5038 is 1.
Lets's calculate GCF of 1275,5038
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1275,5038 By Matching Biggest Common Factor Method
Now, list down the factors of 1275
:1,3,5,15,17,25,51,75,85,255,425,1275
Now, list down the factors of 5038
:1,2,11,22,229,458,2519,5038
Greatest Common Factor
We found the factors 1275,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 1275,5038 is 1.
Lets's calculate LCM of 737,9708
Given numbers has no common factors except 1. So, there LCM is their product i.e 7154796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7154796
Therefore, the GCF of Fractions 1275/737,5038/9708 is 1/7154796
Least Common Multiple of 737,9708 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 737,9708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,9708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,9708) x common factors =1 x 1 = 1
LCM(737,9708) = ( 737 × 9708 ) / 1
LCM(737,9708) = 7154796 / 1
LCM(737,9708) = 7154796
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FAQs on GCF of Fractions of 1275/737, 5038/9708
1. What is the HCF of 1275,5038?
The HCF of 1275,5038 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 1275/737, 5038/9708?
Answer: GCF of Numerators as per given numbers 1275/737, 5038/9708 is
GCF of Numerators i.e. for 1275,5038 is 1
LCM of denominators i.e. for 737,9708 is 7154796.
Thus, GCF of Fractions is 1/7154796.Finally, GCF of Fractions for 1275/737, 5038/9708 is 1/7154796.