GCF of 4750/427, 1749/9415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4750/427, 1749/9415 i.e 1/574315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4750/427, 1749/9415.
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 4750/427,1749/9415?
Given fractions are 4750/427,1749/9415
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 4750/427,1749/9415, numerators are 4750,1749
Denominators are 427,9415
The GCF of 4750,1749 is 1 .
LCM of 427,9415 is 574315.
The greatest common factor of 4750/427,1749/9415 = [GCF of 4750,1749]/[LCM of 427,9415]= 1/574315
Therefore, the GCF of 4750/427,1749/9415 is 1/574315.
To find the highest common factor of 4750,1749, we have to find the factors of both numbers and list the highest common factor.
The factors of 4750 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750
The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749
The HCF of 4750,1749 is 1.
Lets's calculate GCF of 4750,1749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4750,1749 By Matching Biggest Common Factor Method
Now, list down the factors of 4750
:1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750
Now, list down the factors of 1749
:1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 4750,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 4750,1749 is 1.
Lets's calculate LCM of 427,9415
| 7 | 427, 9415 |
| 61, 1345 |
∴ So the LCM of the given numbers is 7 x 61 x 1345 = 574315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574315
Therefore, the GCF of Fractions 4750/427,1749/9415 is 1/574315
Least Common Multiple of 427,9415 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 427,9415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,9415) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,9415) x common factors =7 x 1 = 7
LCM(427,9415) = ( 427 × 9415 ) / 7
LCM(427,9415) = 4020205 / 7
LCM(427,9415) = 574315
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FAQs on GCF of Fractions of 4750/427, 1749/9415
1. What is the HCF of 4750,1749?
The HCF of 4750,1749 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 4750/427, 1749/9415?
Answer: GCF of Numerators as per given numbers 4750/427, 1749/9415 is
GCF of Numerators i.e. for 4750,1749 is 1
LCM of denominators i.e. for 427,9415 is 574315.
Thus, GCF of Fractions is 1/574315.Finally, GCF of Fractions for 4750/427, 1749/9415 is 1/574315.