GCF of 7638/549, 6629/3270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7638/549, 6629/3270 i.e 1/598410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7638/549, 6629/3270.
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 7638/549,6629/3270?
Given fractions are 7638/549,6629/3270
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 7638/549,6629/3270, numerators are 7638,6629
Denominators are 549,3270
The GCF of 7638,6629 is 1 .
LCM of 549,3270 is 598410.
The greatest common factor of 7638/549,6629/3270 = [GCF of 7638,6629]/[LCM of 549,3270]= 1/598410
Therefore, the GCF of 7638/549,6629/3270 is 1/598410.
To find the highest common factor of 7638,6629, we have to find the factors of both numbers and list the highest common factor.
The factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638
The factors of 6629 are 1, 7, 947, 6629
The HCF of 7638,6629 is 1.
Lets's calculate GCF of 7638,6629
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7638,6629 By Matching Biggest Common Factor Method
Now, list down the factors of 7638
:1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638
Now, list down the factors of 6629
:1,7,947,6629
Greatest Common Factor
We found the factors 7638,6629 . The biggest common factor number is the GCF number.
So the greatest common factor 7638,6629 is 1.
Lets's calculate LCM of 549,3270
| 3 | 549, 3270 |
| 183, 1090 |
∴ So the LCM of the given numbers is 3 x 183 x 1090 = 598410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598410
Therefore, the GCF of Fractions 7638/549,6629/3270 is 1/598410
Least Common Multiple of 549,3270 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 549,3270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,3270) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(549,3270) x common factors =3 x 1 = 3
LCM(549,3270) = ( 549 × 3270 ) / 3
LCM(549,3270) = 1795230 / 3
LCM(549,3270) = 598410
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FAQs on GCF of Fractions of 7638/549, 6629/3270
1. What is the HCF of 7638,6629?
The HCF of 7638,6629 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 7638/549, 6629/3270?
Answer: GCF of Numerators as per given numbers 7638/549, 6629/3270 is
GCF of Numerators i.e. for 7638,6629 is 1
LCM of denominators i.e. for 549,3270 is 598410.
Thus, GCF of Fractions is 1/598410.Finally, GCF of Fractions for 7638/549, 6629/3270 is 1/598410.