GCF of 5726/882, 6360/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5726/882, 6360/427 i.e 2/53802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5726/882, 6360/427.
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 5726/882,6360/427?
Given fractions are 5726/882,6360/427
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 5726/882,6360/427, numerators are 5726,6360
Denominators are 882,427
The GCF of 5726,6360 is 2 .
LCM of 882,427 is 53802.
The greatest common factor of 5726/882,6360/427 = [GCF of 5726,6360]/[LCM of 882,427]= 2/53802
Therefore, the GCF of 5726/882,6360/427 is 2/53802.
To find the highest common factor of 5726,6360, we have to find the factors of both numbers and list the highest common factor.
The factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726
The factors of 6360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360
The HCF of 5726,6360 is 2.
Lets's calculate GCF of 5726,6360
| 2 | 5726, 6360 |
| 2863, 3180 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5726,6360 By Matching Biggest Common Factor Method
Now, list down the factors of 5726
:1,2,7,14,409,818,2863,5726
Now, list down the factors of 6360
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360
Greatest Common Factor
We found the factors 5726,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 5726,6360 is 2.
Lets's calculate LCM of 882,427
| 7 | 882, 427 |
| 126, 61 |
∴ So the LCM of the given numbers is 7 x 126 x 61 = 53802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53802
Therefore, the GCF of Fractions 5726/882,6360/427 is 2/53802
Least Common Multiple of 882,427 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 882,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(882,427) x common factors =7 x 1 = 7
LCM(882,427) = ( 882 × 427 ) / 7
LCM(882,427) = 376614 / 7
LCM(882,427) = 53802
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FAQs on GCF of Fractions of 5726/882, 6360/427
1. What is the HCF of 5726,6360?
The HCF of 5726,6360 is 2
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 5726/882, 6360/427?
Answer: GCF of Numerators as per given numbers 5726/882, 6360/427 is
GCF of Numerators i.e. for 5726,6360 is 2
LCM of denominators i.e. for 882,427 is 53802.
Thus, GCF of Fractions is 2/53802.Finally, GCF of Fractions for 5726/882, 6360/427 is 2/53802.