GCF of 7432/214, 4132/8945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7432/214, 4132/8945 i.e 4/1914230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7432/214, 4132/8945.
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 7432/214,4132/8945?
Given fractions are 7432/214,4132/8945
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 7432/214,4132/8945, numerators are 7432,4132
Denominators are 214,8945
The GCF of 7432,4132 is 4 .
LCM of 214,8945 is 1914230.
The greatest common factor of 7432/214,4132/8945 = [GCF of 7432,4132]/[LCM of 214,8945]= 4/1914230
Therefore, the GCF of 7432/214,4132/8945 is 4/1914230.
To find the highest common factor of 7432,4132, we have to find the factors of both numbers and list the highest common factor.
The factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432
The factors of 4132 are 1, 2, 4, 1033, 2066, 4132
The HCF of 7432,4132 is 4.
Lets's calculate GCF of 7432,4132
| 2 | 7432, 4132 |
| 2 | 3716, 2066 |
| 1858, 1033 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7432,4132 By Matching Biggest Common Factor Method
Now, list down the factors of 7432
:1,2,4,8,929,1858,3716,7432
Now, list down the factors of 4132
:1,2,4,1033,2066,4132
Greatest Common Factor
We found the factors 7432,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 7432,4132 is 4.
Lets's calculate LCM of 214,8945
Given numbers has no common factors except 1. So, there LCM is their product i.e 1914230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1914230
Therefore, the GCF of Fractions 7432/214,4132/8945 is 4/1914230
Least Common Multiple of 214,8945 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 214,8945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,8945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,8945) x common factors =1 x 1 = 1
LCM(214,8945) = ( 214 × 8945 ) / 1
LCM(214,8945) = 1914230 / 1
LCM(214,8945) = 1914230
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FAQs on GCF of Fractions of 7432/214, 4132/8945
1. What is the HCF of 7432,4132?
The HCF of 7432,4132 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 7432/214, 4132/8945?
Answer: GCF of Numerators as per given numbers 7432/214, 4132/8945 is
GCF of Numerators i.e. for 7432,4132 is 4
LCM of denominators i.e. for 214,8945 is 1914230.
Thus, GCF of Fractions is 4/1914230.Finally, GCF of Fractions for 7432/214, 4132/8945 is 4/1914230.