GCF of 9572/221, 8532/1416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9572/221, 8532/1416 i.e 4/312936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9572/221, 8532/1416.
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 9572/221,8532/1416?
Given fractions are 9572/221,8532/1416
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 9572/221,8532/1416, numerators are 9572,8532
Denominators are 221,1416
The GCF of 9572,8532 is 4 .
LCM of 221,1416 is 312936.
The greatest common factor of 9572/221,8532/1416 = [GCF of 9572,8532]/[LCM of 221,1416]= 4/312936
Therefore, the GCF of 9572/221,8532/1416 is 4/312936.
To find the highest common factor of 9572,8532, we have to find the factors of both numbers and list the highest common factor.
The factors of 9572 are 1, 2, 4, 2393, 4786, 9572
The factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532
The HCF of 9572,8532 is 4.
Lets's calculate GCF of 9572,8532
| 2 | 9572, 8532 |
| 2 | 4786, 4266 |
| 2393, 2133 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9572,8532 By Matching Biggest Common Factor Method
Now, list down the factors of 9572
:1,2,4,2393,4786,9572
Now, list down the factors of 8532
:1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Greatest Common Factor
We found the factors 9572,8532 . The biggest common factor number is the GCF number.
So the greatest common factor 9572,8532 is 4.
Lets's calculate LCM of 221,1416
Given numbers has no common factors except 1. So, there LCM is their product i.e 312936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/312936
Therefore, the GCF of Fractions 9572/221,8532/1416 is 4/312936
Least Common Multiple of 221,1416 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 221,1416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,1416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,1416) x common factors =1 x 1 = 1
LCM(221,1416) = ( 221 × 1416 ) / 1
LCM(221,1416) = 312936 / 1
LCM(221,1416) = 312936
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FAQs on GCF of Fractions of 9572/221, 8532/1416
1. What is the HCF of 9572,8532?
The HCF of 9572,8532 is 4
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 9572/221, 8532/1416?
Answer: GCF of Numerators as per given numbers 9572/221, 8532/1416 is
GCF of Numerators i.e. for 9572,8532 is 4
LCM of denominators i.e. for 221,1416 is 312936.
Thus, GCF of Fractions is 4/312936.Finally, GCF of Fractions for 9572/221, 8532/1416 is 4/312936.