GCF of 4161/298, 7540/3028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4161/298, 7540/3028 i.e 1/451172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4161/298, 7540/3028.
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 4161/298,7540/3028?
Given fractions are 4161/298,7540/3028
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 4161/298,7540/3028, numerators are 4161,7540
Denominators are 298,3028
The GCF of 4161,7540 is 1 .
LCM of 298,3028 is 451172.
The greatest common factor of 4161/298,7540/3028 = [GCF of 4161,7540]/[LCM of 298,3028]= 1/451172
Therefore, the GCF of 4161/298,7540/3028 is 1/451172.
To find the highest common factor of 4161,7540, we have to find the factors of both numbers and list the highest common factor.
The factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161
The factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540
The HCF of 4161,7540 is 1.
Lets's calculate GCF of 4161,7540
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4161,7540 By Matching Biggest Common Factor Method
Now, list down the factors of 4161
:1,3,19,57,73,219,1387,4161
Now, list down the factors of 7540
:1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540
Greatest Common Factor
We found the factors 4161,7540 . The biggest common factor number is the GCF number.
So the greatest common factor 4161,7540 is 1.
Lets's calculate LCM of 298,3028
| 2 | 298, 3028 |
| 149, 1514 |
∴ So the LCM of the given numbers is 2 x 149 x 1514 = 451172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451172
Therefore, the GCF of Fractions 4161/298,7540/3028 is 1/451172
Least Common Multiple of 298,3028 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 298,3028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,3028) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,3028) x common factors =2 x 1 = 2
LCM(298,3028) = ( 298 × 3028 ) / 2
LCM(298,3028) = 902344 / 2
LCM(298,3028) = 451172
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FAQs on GCF of Fractions of 4161/298, 7540/3028
1. What is the HCF of 4161,7540?
The HCF of 4161,7540 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 4161/298, 7540/3028?
Answer: GCF of Numerators as per given numbers 4161/298, 7540/3028 is
GCF of Numerators i.e. for 4161,7540 is 1
LCM of denominators i.e. for 298,3028 is 451172.
Thus, GCF of Fractions is 1/451172.Finally, GCF of Fractions for 4161/298, 7540/3028 is 1/451172.