GCF of 2283/525, 9532/3138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2283/525, 9532/3138 i.e 1/549150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2283/525, 9532/3138.
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 2283/525,9532/3138?
Given fractions are 2283/525,9532/3138
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 2283/525,9532/3138, numerators are 2283,9532
Denominators are 525,3138
The GCF of 2283,9532 is 1 .
LCM of 525,3138 is 549150.
The greatest common factor of 2283/525,9532/3138 = [GCF of 2283,9532]/[LCM of 525,3138]= 1/549150
Therefore, the GCF of 2283/525,9532/3138 is 1/549150.
To find the highest common factor of 2283,9532, we have to find the factors of both numbers and list the highest common factor.
The factors of 2283 are 1, 3, 761, 2283
The factors of 9532 are 1, 2, 4, 2383, 4766, 9532
The HCF of 2283,9532 is 1.
Lets's calculate GCF of 2283,9532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2283,9532 By Matching Biggest Common Factor Method
Now, list down the factors of 2283
:1,3,761,2283
Now, list down the factors of 9532
:1,2,4,2383,4766,9532
Greatest Common Factor
We found the factors 2283,9532 . The biggest common factor number is the GCF number.
So the greatest common factor 2283,9532 is 1.
Lets's calculate LCM of 525,3138
| 3 | 525, 3138 |
| 175, 1046 |
∴ So the LCM of the given numbers is 3 x 175 x 1046 = 549150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549150
Therefore, the GCF of Fractions 2283/525,9532/3138 is 1/549150
Least Common Multiple of 525,3138 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 525,3138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,3138) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(525,3138) x common factors =3 x 1 = 3
LCM(525,3138) = ( 525 × 3138 ) / 3
LCM(525,3138) = 1647450 / 3
LCM(525,3138) = 549150
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FAQs on GCF of Fractions of 2283/525, 9532/3138
1. What is the HCF of 2283,9532?
The HCF of 2283,9532 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 2283/525, 9532/3138?
Answer: GCF of Numerators as per given numbers 2283/525, 9532/3138 is
GCF of Numerators i.e. for 2283,9532 is 1
LCM of denominators i.e. for 525,3138 is 549150.
Thus, GCF of Fractions is 1/549150.Finally, GCF of Fractions for 2283/525, 9532/3138 is 1/549150.