GCF of 5751/420, 5572/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5751/420, 5572/598 i.e 1/125580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5751/420, 5572/598.
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 5751/420,5572/598?
Given fractions are 5751/420,5572/598
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 5751/420,5572/598, numerators are 5751,5572
Denominators are 420,598
The GCF of 5751,5572 is 1 .
LCM of 420,598 is 125580.
The greatest common factor of 5751/420,5572/598 = [GCF of 5751,5572]/[LCM of 420,598]= 1/125580
Therefore, the GCF of 5751/420,5572/598 is 1/125580.
To find the highest common factor of 5751,5572, we have to find the factors of both numbers and list the highest common factor.
The factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751
The factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572
The HCF of 5751,5572 is 1.
Lets's calculate GCF of 5751,5572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5751,5572 By Matching Biggest Common Factor Method
Now, list down the factors of 5751
:1,3,9,27,71,81,213,639,1917,5751
Now, list down the factors of 5572
:1,2,4,7,14,28,199,398,796,1393,2786,5572
Greatest Common Factor
We found the factors 5751,5572 . The biggest common factor number is the GCF number.
So the greatest common factor 5751,5572 is 1.
Lets's calculate LCM of 420,598
| 2 | 420, 598 |
| 210, 299 |
∴ So the LCM of the given numbers is 2 x 210 x 299 = 125580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125580
Therefore, the GCF of Fractions 5751/420,5572/598 is 1/125580
Least Common Multiple of 420,598 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 420,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(420,598) x common factors =2 x 1 = 2
LCM(420,598) = ( 420 × 598 ) / 2
LCM(420,598) = 251160 / 2
LCM(420,598) = 125580
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FAQs on GCF of Fractions of 5751/420, 5572/598
1. What is the HCF of 5751,5572?
The HCF of 5751,5572 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 5751/420, 5572/598?
Answer: GCF of Numerators as per given numbers 5751/420, 5572/598 is
GCF of Numerators i.e. for 5751,5572 is 1
LCM of denominators i.e. for 420,598 is 125580.
Thus, GCF of Fractions is 1/125580.Finally, GCF of Fractions for 5751/420, 5572/598 is 1/125580.