GCF of 4435/836, 8840/6457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4435/836, 8840/6457 i.e 5/490732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4435/836, 8840/6457.
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 4435/836,8840/6457?
Given fractions are 4435/836,8840/6457
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 4435/836,8840/6457, numerators are 4435,8840
Denominators are 836,6457
The GCF of 4435,8840 is 5 .
LCM of 836,6457 is 490732.
The greatest common factor of 4435/836,8840/6457 = [GCF of 4435,8840]/[LCM of 836,6457]= 5/490732
Therefore, the GCF of 4435/836,8840/6457 is 5/490732.
To find the highest common factor of 4435,8840, we have to find the factors of both numbers and list the highest common factor.
The factors of 4435 are 1, 5, 887, 4435
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The HCF of 4435,8840 is 5.
Lets's calculate GCF of 4435,8840
| 5 | 4435, 8840 |
| 887, 1768 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4435,8840 By Matching Biggest Common Factor Method
Now, list down the factors of 4435
:1,5,887,4435
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Greatest Common Factor
We found the factors 4435,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 4435,8840 is 5.
Lets's calculate LCM of 836,6457
| 11 | 836, 6457 |
| 76, 587 |
∴ So the LCM of the given numbers is 11 x 76 x 587 = 490732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/490732
Therefore, the GCF of Fractions 4435/836,8840/6457 is 5/490732
Least Common Multiple of 836,6457 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 836,6457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,6457) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(836,6457) x common factors =11 x 1 = 11
LCM(836,6457) = ( 836 × 6457 ) / 11
LCM(836,6457) = 5398052 / 11
LCM(836,6457) = 490732
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FAQs on GCF of Fractions of 4435/836, 8840/6457
1. What is the HCF of 4435,8840?
The HCF of 4435,8840 is 5
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 4435/836, 8840/6457?
Answer: GCF of Numerators as per given numbers 4435/836, 8840/6457 is
GCF of Numerators i.e. for 4435,8840 is 5
LCM of denominators i.e. for 836,6457 is 490732.
Thus, GCF of Fractions is 5/490732.Finally, GCF of Fractions for 4435/836, 8840/6457 is 5/490732.