GCF of 7021/231, 7416/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7021/231, 7416/152 i.e 1/35112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7021/231, 7416/152.
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 7021/231,7416/152?
Given fractions are 7021/231,7416/152
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 7021/231,7416/152, numerators are 7021,7416
Denominators are 231,152
The GCF of 7021,7416 is 1 .
LCM of 231,152 is 35112.
The greatest common factor of 7021/231,7416/152 = [GCF of 7021,7416]/[LCM of 231,152]= 1/35112
Therefore, the GCF of 7021/231,7416/152 is 1/35112.
To find the highest common factor of 7021,7416, we have to find the factors of both numbers and list the highest common factor.
The factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021
The factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416
The HCF of 7021,7416 is 1.
Lets's calculate GCF of 7021,7416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7021,7416 By Matching Biggest Common Factor Method
Now, list down the factors of 7021
:1,7,17,59,119,413,1003,7021
Now, list down the factors of 7416
:1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Greatest Common Factor
We found the factors 7021,7416 . The biggest common factor number is the GCF number.
So the greatest common factor 7021,7416 is 1.
Lets's calculate LCM of 231,152
Given numbers has no common factors except 1. So, there LCM is their product i.e 35112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35112
Therefore, the GCF of Fractions 7021/231,7416/152 is 1/35112
Least Common Multiple of 231,152 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 231,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,152) x common factors =1 x 1 = 1
LCM(231,152) = ( 231 × 152 ) / 1
LCM(231,152) = 35112 / 1
LCM(231,152) = 35112
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FAQs on GCF of Fractions of 7021/231, 7416/152
1. What is the HCF of 7021,7416?
The HCF of 7021,7416 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 7021/231, 7416/152?
Answer: GCF of Numerators as per given numbers 7021/231, 7416/152 is
GCF of Numerators i.e. for 7021,7416 is 1
LCM of denominators i.e. for 231,152 is 35112.
Thus, GCF of Fractions is 1/35112.Finally, GCF of Fractions for 7021/231, 7416/152 is 1/35112.