GCF of 3549/102, 7217/9907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3549/102, 7217/9907 i.e 7/1010514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3549/102, 7217/9907.
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 3549/102,7217/9907?
Given fractions are 3549/102,7217/9907
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 3549/102,7217/9907, numerators are 3549,7217
Denominators are 102,9907
The GCF of 3549,7217 is 7 .
LCM of 102,9907 is 1010514.
The greatest common factor of 3549/102,7217/9907 = [GCF of 3549,7217]/[LCM of 102,9907]= 7/1010514
Therefore, the GCF of 3549/102,7217/9907 is 7/1010514.
To find the highest common factor of 3549,7217, we have to find the factors of both numbers and list the highest common factor.
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The factors of 7217 are 1, 7, 1031, 7217
The HCF of 3549,7217 is 7.
Lets's calculate GCF of 3549,7217
| 7 | 3549, 7217 |
| 507, 1031 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3549,7217 By Matching Biggest Common Factor Method
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Now, list down the factors of 7217
:1,7,1031,7217
Greatest Common Factor
We found the factors 3549,7217 . The biggest common factor number is the GCF number.
So the greatest common factor 3549,7217 is 7.
Lets's calculate LCM of 102,9907
Given numbers has no common factors except 1. So, there LCM is their product i.e 1010514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1010514
Therefore, the GCF of Fractions 3549/102,7217/9907 is 7/1010514
Least Common Multiple of 102,9907 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 102,9907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,9907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,9907) x common factors =1 x 1 = 1
LCM(102,9907) = ( 102 × 9907 ) / 1
LCM(102,9907) = 1010514 / 1
LCM(102,9907) = 1010514
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FAQs on GCF of Fractions of 3549/102, 7217/9907
1. What is the HCF of 3549,7217?
The HCF of 3549,7217 is 7
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 3549/102, 7217/9907?
Answer: GCF of Numerators as per given numbers 3549/102, 7217/9907 is
GCF of Numerators i.e. for 3549,7217 is 7
LCM of denominators i.e. for 102,9907 is 1010514.
Thus, GCF of Fractions is 7/1010514.Finally, GCF of Fractions for 3549/102, 7217/9907 is 7/1010514.