GCF of 4822/686, 7414/9230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4822/686, 7414/9230 i.e 2/3165890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4822/686, 7414/9230.
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 4822/686,7414/9230?
Given fractions are 4822/686,7414/9230
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 4822/686,7414/9230, numerators are 4822,7414
Denominators are 686,9230
The GCF of 4822,7414 is 2 .
LCM of 686,9230 is 3165890.
The greatest common factor of 4822/686,7414/9230 = [GCF of 4822,7414]/[LCM of 686,9230]= 2/3165890
Therefore, the GCF of 4822/686,7414/9230 is 2/3165890.
To find the highest common factor of 4822,7414, we have to find the factors of both numbers and list the highest common factor.
The factors of 4822 are 1, 2, 2411, 4822
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The HCF of 4822,7414 is 2.
Lets's calculate GCF of 4822,7414
| 2 | 4822, 7414 |
| 2411, 3707 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4822,7414 By Matching Biggest Common Factor Method
Now, list down the factors of 4822
:1,2,2411,4822
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Greatest Common Factor
We found the factors 4822,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 4822,7414 is 2.
Lets's calculate LCM of 686,9230
| 2 | 686, 9230 |
| 343, 4615 |
∴ So the LCM of the given numbers is 2 x 343 x 4615 = 3165890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3165890
Therefore, the GCF of Fractions 4822/686,7414/9230 is 2/3165890
Least Common Multiple of 686,9230 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 686,9230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,9230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,9230) x common factors =2 x 1 = 2
LCM(686,9230) = ( 686 × 9230 ) / 2
LCM(686,9230) = 6331780 / 2
LCM(686,9230) = 3165890
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FAQs on GCF of Fractions of 4822/686, 7414/9230
1. What is the HCF of 4822,7414?
The HCF of 4822,7414 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 4822/686, 7414/9230?
Answer: GCF of Numerators as per given numbers 4822/686, 7414/9230 is
GCF of Numerators i.e. for 4822,7414 is 2
LCM of denominators i.e. for 686,9230 is 3165890.
Thus, GCF of Fractions is 2/3165890.Finally, GCF of Fractions for 4822/686, 7414/9230 is 2/3165890.