GCF of 153/704, 8024/3412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 153/704, 8024/3412 i.e 17/600512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/704, 8024/3412.
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 153/704,8024/3412?
Given fractions are 153/704,8024/3412
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 153/704,8024/3412, numerators are 153,8024
Denominators are 704,3412
The GCF of 153,8024 is 17 .
LCM of 704,3412 is 600512.
The greatest common factor of 153/704,8024/3412 = [GCF of 153,8024]/[LCM of 704,3412]= 17/600512
Therefore, the GCF of 153/704,8024/3412 is 17/600512.
To find the highest common factor of 153,8024, we have to find the factors of both numbers and list the highest common factor.
The factors of 153 are 1, 3, 9, 17, 51, 153
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The HCF of 153,8024 is 17.
Lets's calculate GCF of 153,8024
| 17 | 153, 8024 |
| 9, 472 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 153,8024 By Matching Biggest Common Factor Method
Now, list down the factors of 153
:1,3,9,17,51,153
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Greatest Common Factor
We found the factors 153,8024 . The biggest common factor number is the GCF number.
So the greatest common factor 153,8024 is 17.
Lets's calculate LCM of 704,3412
| 2 | 704, 3412 |
| 2 | 352, 1706 |
| 176, 853 |
∴ So the LCM of the given numbers is 2 x 2 x 176 x 853 = 600512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/600512
Therefore, the GCF of Fractions 153/704,8024/3412 is 17/600512
Least Common Multiple of 704,3412 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 704,3412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,3412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(704,3412) x common factors =4 x 1 = 4
LCM(704,3412) = ( 704 × 3412 ) / 4
LCM(704,3412) = 2402048 / 4
LCM(704,3412) = 600512
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FAQs on GCF of Fractions of 153/704, 8024/3412
1. What is the HCF of 153,8024?
The HCF of 153,8024 is 17
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 153/704, 8024/3412?
Answer: GCF of Numerators as per given numbers 153/704, 8024/3412 is
GCF of Numerators i.e. for 153,8024 is 17
LCM of denominators i.e. for 704,3412 is 600512.
Thus, GCF of Fractions is 17/600512.Finally, GCF of Fractions for 153/704, 8024/3412 is 17/600512.