GCF of 2950/410, 3127/4004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2950/410, 3127/4004 i.e 59/820820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2950/410, 3127/4004.
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 2950/410,3127/4004?
Given fractions are 2950/410,3127/4004
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 2950/410,3127/4004, numerators are 2950,3127
Denominators are 410,4004
The GCF of 2950,3127 is 59 .
LCM of 410,4004 is 820820.
The greatest common factor of 2950/410,3127/4004 = [GCF of 2950,3127]/[LCM of 410,4004]= 59/820820
Therefore, the GCF of 2950/410,3127/4004 is 59/820820.
To find the highest common factor of 2950,3127, we have to find the factors of both numbers and list the highest common factor.
The factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950
The factors of 3127 are 1, 53, 59, 3127
The HCF of 2950,3127 is 59.
Lets's calculate GCF of 2950,3127
| 59 | 2950, 3127 |
| 50, 53 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 2950,3127 By Matching Biggest Common Factor Method
Now, list down the factors of 2950
:1,2,5,10,25,50,59,118,295,590,1475,2950
Now, list down the factors of 3127
:1,53,59,3127
Greatest Common Factor
We found the factors 2950,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 2950,3127 is 59.
Lets's calculate LCM of 410,4004
| 2 | 410, 4004 |
| 205, 2002 |
∴ So the LCM of the given numbers is 2 x 205 x 2002 = 820820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/820820
Therefore, the GCF of Fractions 2950/410,3127/4004 is 59/820820
Least Common Multiple of 410,4004 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 410,4004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,4004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,4004) x common factors =2 x 1 = 2
LCM(410,4004) = ( 410 × 4004 ) / 2
LCM(410,4004) = 1641640 / 2
LCM(410,4004) = 820820
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FAQs on GCF of Fractions of 2950/410, 3127/4004
1. What is the HCF of 2950,3127?
The HCF of 2950,3127 is 59
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 2950/410, 3127/4004?
Answer: GCF of Numerators as per given numbers 2950/410, 3127/4004 is
GCF of Numerators i.e. for 2950,3127 is 59
LCM of denominators i.e. for 410,4004 is 820820.
Thus, GCF of Fractions is 59/820820.Finally, GCF of Fractions for 2950/410, 3127/4004 is 59/820820.