GCF of 1482/261, 7601/5210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1482/261, 7601/5210 i.e 1/1359810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1482/261, 7601/5210.
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 1482/261,7601/5210?
Given fractions are 1482/261,7601/5210
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 1482/261,7601/5210, numerators are 1482,7601
Denominators are 261,5210
The GCF of 1482,7601 is 1 .
LCM of 261,5210 is 1359810.
The greatest common factor of 1482/261,7601/5210 = [GCF of 1482,7601]/[LCM of 261,5210]= 1/1359810
Therefore, the GCF of 1482/261,7601/5210 is 1/1359810.
To find the highest common factor of 1482,7601, we have to find the factors of both numbers and list the highest common factor.
The factors of 1482 are 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482
The factors of 7601 are 1, 11, 691, 7601
The HCF of 1482,7601 is 1.
Lets's calculate GCF of 1482,7601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1482,7601 By Matching Biggest Common Factor Method
Now, list down the factors of 1482
:1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Now, list down the factors of 7601
:1,11,691,7601
Greatest Common Factor
We found the factors 1482,7601 . The biggest common factor number is the GCF number.
So the greatest common factor 1482,7601 is 1.
Lets's calculate LCM of 261,5210
Given numbers has no common factors except 1. So, there LCM is their product i.e 1359810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1359810
Therefore, the GCF of Fractions 1482/261,7601/5210 is 1/1359810
Least Common Multiple of 261,5210 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 261,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,5210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,5210) x common factors =1 x 1 = 1
LCM(261,5210) = ( 261 × 5210 ) / 1
LCM(261,5210) = 1359810 / 1
LCM(261,5210) = 1359810
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FAQs on GCF of Fractions of 1482/261, 7601/5210
1. What is the HCF of 1482,7601?
The HCF of 1482,7601 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 1482/261, 7601/5210?
Answer: GCF of Numerators as per given numbers 1482/261, 7601/5210 is
GCF of Numerators i.e. for 1482,7601 is 1
LCM of denominators i.e. for 261,5210 is 1359810.
Thus, GCF of Fractions is 1/1359810.Finally, GCF of Fractions for 1482/261, 7601/5210 is 1/1359810.