GCF of 7048/594, 2282/7674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/594, 2282/7674 i.e 2/759726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/594, 2282/7674.
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 7048/594,2282/7674?
Given fractions are 7048/594,2282/7674
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 7048/594,2282/7674, numerators are 7048,2282
Denominators are 594,7674
The GCF of 7048,2282 is 2 .
LCM of 594,7674 is 759726.
The greatest common factor of 7048/594,2282/7674 = [GCF of 7048,2282]/[LCM of 594,7674]= 2/759726
Therefore, the GCF of 7048/594,2282/7674 is 2/759726.
To find the highest common factor of 7048,2282, we have to find the factors of both numbers and list the highest common factor.
The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048
The factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282
The HCF of 7048,2282 is 2.
Lets's calculate GCF of 7048,2282
| 2 | 7048, 2282 |
| 3524, 1141 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7048,2282 By Matching Biggest Common Factor Method
Now, list down the factors of 7048
:1,2,4,8,881,1762,3524,7048
Now, list down the factors of 2282
:1,2,7,14,163,326,1141,2282
Greatest Common Factor
We found the factors 7048,2282 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,2282 is 2.
Lets's calculate LCM of 594,7674
| 2 | 594, 7674 |
| 3 | 297, 3837 |
| 99, 1279 |
∴ So the LCM of the given numbers is 2 x 3 x 99 x 1279 = 759726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/759726
Therefore, the GCF of Fractions 7048/594,2282/7674 is 2/759726
Least Common Multiple of 594,7674 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 594,7674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,7674) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(594,7674) x common factors =6 x 1 = 6
LCM(594,7674) = ( 594 × 7674 ) / 6
LCM(594,7674) = 4558356 / 6
LCM(594,7674) = 759726
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FAQs on GCF of Fractions of 7048/594, 2282/7674
1. What is the HCF of 7048,2282?
The HCF of 7048,2282 is 2
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 7048/594, 2282/7674?
Answer: GCF of Numerators as per given numbers 7048/594, 2282/7674 is
GCF of Numerators i.e. for 7048,2282 is 2
LCM of denominators i.e. for 594,7674 is 759726.
Thus, GCF of Fractions is 2/759726.Finally, GCF of Fractions for 7048/594, 2282/7674 is 2/759726.