GCF of 5249/908, 4998/469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5249/908, 4998/469 i.e 1/425852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5249/908, 4998/469.
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 5249/908,4998/469?
Given fractions are 5249/908,4998/469
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 5249/908,4998/469, numerators are 5249,4998
Denominators are 908,469
The GCF of 5249,4998 is 1 .
LCM of 908,469 is 425852.
The greatest common factor of 5249/908,4998/469 = [GCF of 5249,4998]/[LCM of 908,469]= 1/425852
Therefore, the GCF of 5249/908,4998/469 is 1/425852.
To find the highest common factor of 5249,4998, we have to find the factors of both numbers and list the highest common factor.
The factors of 5249 are 1, 29, 181, 5249
The factors of 4998 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998
The HCF of 5249,4998 is 1.
Lets's calculate GCF of 5249,4998
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5249,4998 By Matching Biggest Common Factor Method
Now, list down the factors of 5249
:1,29,181,5249
Now, list down the factors of 4998
:1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998
Greatest Common Factor
We found the factors 5249,4998 . The biggest common factor number is the GCF number.
So the greatest common factor 5249,4998 is 1.
Lets's calculate LCM of 908,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 425852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425852
Therefore, the GCF of Fractions 5249/908,4998/469 is 1/425852
Least Common Multiple of 908,469 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 908,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,469) x common factors =1 x 1 = 1
LCM(908,469) = ( 908 × 469 ) / 1
LCM(908,469) = 425852 / 1
LCM(908,469) = 425852
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FAQs on GCF of Fractions of 5249/908, 4998/469
1. What is the HCF of 5249,4998?
The HCF of 5249,4998 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 5249/908, 4998/469?
Answer: GCF of Numerators as per given numbers 5249/908, 4998/469 is
GCF of Numerators i.e. for 5249,4998 is 1
LCM of denominators i.e. for 908,469 is 425852.
Thus, GCF of Fractions is 1/425852.Finally, GCF of Fractions for 5249/908, 4998/469 is 1/425852.