GCF of 4301/561, 9292/7528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4301/561, 9292/7528 i.e 23/4223208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4301/561, 9292/7528.
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 4301/561,9292/7528?
Given fractions are 4301/561,9292/7528
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 4301/561,9292/7528, numerators are 4301,9292
Denominators are 561,7528
The GCF of 4301,9292 is 23 .
LCM of 561,7528 is 4223208.
The greatest common factor of 4301/561,9292/7528 = [GCF of 4301,9292]/[LCM of 561,7528]= 23/4223208
Therefore, the GCF of 4301/561,9292/7528 is 23/4223208.
To find the highest common factor of 4301,9292, we have to find the factors of both numbers and list the highest common factor.
The factors of 4301 are 1, 11, 17, 23, 187, 253, 391, 4301
The factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292
The HCF of 4301,9292 is 23.
Lets's calculate GCF of 4301,9292
| 23 | 4301, 9292 |
| 187, 404 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4301,9292 By Matching Biggest Common Factor Method
Now, list down the factors of 4301
:1,11,17,23,187,253,391,4301
Now, list down the factors of 9292
:1,2,4,23,46,92,101,202,404,2323,4646,9292
Greatest Common Factor
We found the factors 4301,9292 . The biggest common factor number is the GCF number.
So the greatest common factor 4301,9292 is 23.
Lets's calculate LCM of 561,7528
Given numbers has no common factors except 1. So, there LCM is their product i.e 4223208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4223208
Therefore, the GCF of Fractions 4301/561,9292/7528 is 23/4223208
Least Common Multiple of 561,7528 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 561,7528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,7528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,7528) x common factors =1 x 1 = 1
LCM(561,7528) = ( 561 × 7528 ) / 1
LCM(561,7528) = 4223208 / 1
LCM(561,7528) = 4223208
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FAQs on GCF of Fractions of 4301/561, 9292/7528
1. What is the HCF of 4301,9292?
The HCF of 4301,9292 is 23
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 4301/561, 9292/7528?
Answer: GCF of Numerators as per given numbers 4301/561, 9292/7528 is
GCF of Numerators i.e. for 4301,9292 is 23
LCM of denominators i.e. for 561,7528 is 4223208.
Thus, GCF of Fractions is 23/4223208.Finally, GCF of Fractions for 4301/561, 9292/7528 is 23/4223208.