GCF of 7249/299, 4722/8648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7249/299, 4722/8648 i.e 1/112424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7249/299, 4722/8648.
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 7249/299,4722/8648?
Given fractions are 7249/299,4722/8648
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 7249/299,4722/8648, numerators are 7249,4722
Denominators are 299,8648
The GCF of 7249,4722 is 1 .
LCM of 299,8648 is 112424.
The greatest common factor of 7249/299,4722/8648 = [GCF of 7249,4722]/[LCM of 299,8648]= 1/112424
Therefore, the GCF of 7249/299,4722/8648 is 1/112424.
To find the highest common factor of 7249,4722, we have to find the factors of both numbers and list the highest common factor.
The factors of 7249 are 1, 11, 659, 7249
The factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722
The HCF of 7249,4722 is 1.
Lets's calculate GCF of 7249,4722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7249,4722 By Matching Biggest Common Factor Method
Now, list down the factors of 7249
:1,11,659,7249
Now, list down the factors of 4722
:1,2,3,6,787,1574,2361,4722
Greatest Common Factor
We found the factors 7249,4722 . The biggest common factor number is the GCF number.
So the greatest common factor 7249,4722 is 1.
Lets's calculate LCM of 299,8648
| 23 | 299, 8648 |
| 13, 376 |
∴ So the LCM of the given numbers is 23 x 13 x 376 = 112424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112424
Therefore, the GCF of Fractions 7249/299,4722/8648 is 1/112424
Least Common Multiple of 299,8648 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 299,8648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,8648) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(299,8648) x common factors =23 x 1 = 23
LCM(299,8648) = ( 299 × 8648 ) / 23
LCM(299,8648) = 2585752 / 23
LCM(299,8648) = 112424
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FAQs on GCF of Fractions of 7249/299, 4722/8648
1. What is the HCF of 7249,4722?
The HCF of 7249,4722 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 7249/299, 4722/8648?
Answer: GCF of Numerators as per given numbers 7249/299, 4722/8648 is
GCF of Numerators i.e. for 7249,4722 is 1
LCM of denominators i.e. for 299,8648 is 112424.
Thus, GCF of Fractions is 1/112424.Finally, GCF of Fractions for 7249/299, 4722/8648 is 1/112424.