GCF of 8576/152, 7601/9850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8576/152, 7601/9850 i.e 1/748600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8576/152, 7601/9850.
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 8576/152,7601/9850?
Given fractions are 8576/152,7601/9850
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 8576/152,7601/9850, numerators are 8576,7601
Denominators are 152,9850
The GCF of 8576,7601 is 1 .
LCM of 152,9850 is 748600.
The greatest common factor of 8576/152,7601/9850 = [GCF of 8576,7601]/[LCM of 152,9850]= 1/748600
Therefore, the GCF of 8576/152,7601/9850 is 1/748600.
To find the highest common factor of 8576,7601, we have to find the factors of both numbers and list the highest common factor.
The factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576
The factors of 7601 are 1, 11, 691, 7601
The HCF of 8576,7601 is 1.
Lets's calculate GCF of 8576,7601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8576,7601 By Matching Biggest Common Factor Method
Now, list down the factors of 8576
:1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576
Now, list down the factors of 7601
:1,11,691,7601
Greatest Common Factor
We found the factors 8576,7601 . The biggest common factor number is the GCF number.
So the greatest common factor 8576,7601 is 1.
Lets's calculate LCM of 152,9850
| 2 | 152, 9850 |
| 76, 4925 |
∴ So the LCM of the given numbers is 2 x 76 x 4925 = 748600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748600
Therefore, the GCF of Fractions 8576/152,7601/9850 is 1/748600
Least Common Multiple of 152,9850 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 152,9850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,9850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,9850) x common factors =2 x 1 = 2
LCM(152,9850) = ( 152 × 9850 ) / 2
LCM(152,9850) = 1497200 / 2
LCM(152,9850) = 748600
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FAQs on GCF of Fractions of 8576/152, 7601/9850
1. What is the HCF of 8576,7601?
The HCF of 8576,7601 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 8576/152, 7601/9850?
Answer: GCF of Numerators as per given numbers 8576/152, 7601/9850 is
GCF of Numerators i.e. for 8576,7601 is 1
LCM of denominators i.e. for 152,9850 is 748600.
Thus, GCF of Fractions is 1/748600.Finally, GCF of Fractions for 8576/152, 7601/9850 is 1/748600.