GCF of 3076/487, 3532/4003
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3076/487, 3532/4003 i.e 4/1949461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3076/487, 3532/4003.
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 3076/487,3532/4003?
Given fractions are 3076/487,3532/4003
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 3076/487,3532/4003, numerators are 3076,3532
Denominators are 487,4003
The GCF of 3076,3532 is 4 .
LCM of 487,4003 is 1949461.
The greatest common factor of 3076/487,3532/4003 = [GCF of 3076,3532]/[LCM of 487,4003]= 4/1949461
Therefore, the GCF of 3076/487,3532/4003 is 4/1949461.
To find the highest common factor of 3076,3532, we have to find the factors of both numbers and list the highest common factor.
The factors of 3076 are 1, 2, 4, 769, 1538, 3076
The factors of 3532 are 1, 2, 4, 883, 1766, 3532
The HCF of 3076,3532 is 4.
Lets's calculate GCF of 3076,3532
| 2 | 3076, 3532 |
| 2 | 1538, 1766 |
| 769, 883 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3076,3532 By Matching Biggest Common Factor Method
Now, list down the factors of 3076
:1,2,4,769,1538,3076
Now, list down the factors of 3532
:1,2,4,883,1766,3532
Greatest Common Factor
We found the factors 3076,3532 . The biggest common factor number is the GCF number.
So the greatest common factor 3076,3532 is 4.
Lets's calculate LCM of 487,4003
Given numbers has no common factors except 1. So, there LCM is their product i.e 1949461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1949461
Therefore, the GCF of Fractions 3076/487,3532/4003 is 4/1949461
Least Common Multiple of 487,4003 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 487,4003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,4003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,4003) x common factors =1 x 1 = 1
LCM(487,4003) = ( 487 × 4003 ) / 1
LCM(487,4003) = 1949461 / 1
LCM(487,4003) = 1949461
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FAQs on GCF of Fractions of 3076/487, 3532/4003
1. What is the HCF of 3076,3532?
The HCF of 3076,3532 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 3076/487, 3532/4003?
Answer: GCF of Numerators as per given numbers 3076/487, 3532/4003 is
GCF of Numerators i.e. for 3076,3532 is 4
LCM of denominators i.e. for 487,4003 is 1949461.
Thus, GCF of Fractions is 4/1949461.Finally, GCF of Fractions for 3076/487, 3532/4003 is 4/1949461.