GCF of 7239/644, 2282/802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7239/644, 2282/802 i.e 1/258244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7239/644, 2282/802.
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 7239/644,2282/802?
Given fractions are 7239/644,2282/802
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 7239/644,2282/802, numerators are 7239,2282
Denominators are 644,802
The GCF of 7239,2282 is 1 .
LCM of 644,802 is 258244.
The greatest common factor of 7239/644,2282/802 = [GCF of 7239,2282]/[LCM of 644,802]= 1/258244
Therefore, the GCF of 7239/644,2282/802 is 1/258244.
To find the highest common factor of 7239,2282, we have to find the factors of both numbers and list the highest common factor.
The factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239
The factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282
The HCF of 7239,2282 is 1.
Lets's calculate GCF of 7239,2282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7239,2282 By Matching Biggest Common Factor Method
Now, list down the factors of 7239
:1,3,19,57,127,381,2413,7239
Now, list down the factors of 2282
:1,2,7,14,163,326,1141,2282
Greatest Common Factor
We found the factors 7239,2282 . The biggest common factor number is the GCF number.
So the greatest common factor 7239,2282 is 1.
Lets's calculate LCM of 644,802
| 2 | 644, 802 |
| 322, 401 |
∴ So the LCM of the given numbers is 2 x 322 x 401 = 258244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258244
Therefore, the GCF of Fractions 7239/644,2282/802 is 1/258244
Least Common Multiple of 644,802 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 644,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(644,802) x common factors =2 x 1 = 2
LCM(644,802) = ( 644 × 802 ) / 2
LCM(644,802) = 516488 / 2
LCM(644,802) = 258244
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FAQs on GCF of Fractions of 7239/644, 2282/802
1. What is the HCF of 7239,2282?
The HCF of 7239,2282 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 7239/644, 2282/802?
Answer: GCF of Numerators as per given numbers 7239/644, 2282/802 is
GCF of Numerators i.e. for 7239,2282 is 1
LCM of denominators i.e. for 644,802 is 258244.
Thus, GCF of Fractions is 1/258244.Finally, GCF of Fractions for 7239/644, 2282/802 is 1/258244.