GCF of 4357/420, 9470/6240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4357/420, 9470/6240 i.e 1/43680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4357/420, 9470/6240.
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 4357/420,9470/6240?
Given fractions are 4357/420,9470/6240
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 4357/420,9470/6240, numerators are 4357,9470
Denominators are 420,6240
The GCF of 4357,9470 is 1 .
LCM of 420,6240 is 43680.
The greatest common factor of 4357/420,9470/6240 = [GCF of 4357,9470]/[LCM of 420,6240]= 1/43680
Therefore, the GCF of 4357/420,9470/6240 is 1/43680.
To find the highest common factor of 4357,9470, we have to find the factors of both numbers and list the highest common factor.
The factors of 4357 are 1, 4357
The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470
The HCF of 4357,9470 is 1.
Lets's calculate GCF of 4357,9470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4357,9470 By Matching Biggest Common Factor Method
Now, list down the factors of 4357
:1,4357
Now, list down the factors of 9470
:1,2,5,10,947,1894,4735,9470
Greatest Common Factor
We found the factors 4357,9470 . The biggest common factor number is the GCF number.
So the greatest common factor 4357,9470 is 1.
Lets's calculate LCM of 420,6240
| 2 | 420, 6240 |
| 2 | 210, 3120 |
| 3 | 105, 1560 |
| 5 | 35, 520 |
| 7, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 104 = 43680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43680
Therefore, the GCF of Fractions 4357/420,9470/6240 is 1/43680
Least Common Multiple of 420,6240 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 420,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,6240) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(420,6240) x common factors =60 x 1 = 60
LCM(420,6240) = ( 420 × 6240 ) / 60
LCM(420,6240) = 2620800 / 60
LCM(420,6240) = 43680
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FAQs on GCF of Fractions of 4357/420, 9470/6240
1. What is the HCF of 4357,9470?
The HCF of 4357,9470 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 4357/420, 9470/6240?
Answer: GCF of Numerators as per given numbers 4357/420, 9470/6240 is
GCF of Numerators i.e. for 4357,9470 is 1
LCM of denominators i.e. for 420,6240 is 43680.
Thus, GCF of Fractions is 1/43680.Finally, GCF of Fractions for 4357/420, 9470/6240 is 1/43680.