GCF of 6730/596, 7549/3448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6730/596, 7549/3448 i.e 1/513752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6730/596, 7549/3448.
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 6730/596,7549/3448?
Given fractions are 6730/596,7549/3448
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 6730/596,7549/3448, numerators are 6730,7549
Denominators are 596,3448
The GCF of 6730,7549 is 1 .
LCM of 596,3448 is 513752.
The greatest common factor of 6730/596,7549/3448 = [GCF of 6730,7549]/[LCM of 596,3448]= 1/513752
Therefore, the GCF of 6730/596,7549/3448 is 1/513752.
To find the highest common factor of 6730,7549, we have to find the factors of both numbers and list the highest common factor.
The factors of 6730 are 1, 2, 5, 10, 673, 1346, 3365, 6730
The factors of 7549 are 1, 7549
The HCF of 6730,7549 is 1.
Lets's calculate GCF of 6730,7549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6730,7549 By Matching Biggest Common Factor Method
Now, list down the factors of 6730
:1,2,5,10,673,1346,3365,6730
Now, list down the factors of 7549
:1,7549
Greatest Common Factor
We found the factors 6730,7549 . The biggest common factor number is the GCF number.
So the greatest common factor 6730,7549 is 1.
Lets's calculate LCM of 596,3448
| 2 | 596, 3448 |
| 2 | 298, 1724 |
| 149, 862 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 862 = 513752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/513752
Therefore, the GCF of Fractions 6730/596,7549/3448 is 1/513752
Least Common Multiple of 596,3448 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 596,3448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,3448) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,3448) x common factors =4 x 1 = 4
LCM(596,3448) = ( 596 × 3448 ) / 4
LCM(596,3448) = 2055008 / 4
LCM(596,3448) = 513752
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FAQs on GCF of Fractions of 6730/596, 7549/3448
1. What is the HCF of 6730,7549?
The HCF of 6730,7549 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 6730/596, 7549/3448?
Answer: GCF of Numerators as per given numbers 6730/596, 7549/3448 is
GCF of Numerators i.e. for 6730,7549 is 1
LCM of denominators i.e. for 596,3448 is 513752.
Thus, GCF of Fractions is 1/513752.Finally, GCF of Fractions for 6730/596, 7549/3448 is 1/513752.