GCF of 425/458, 780/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 425/458, 780/839 i.e 5/384262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/458, 780/839.
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 425/458,780/839?
Given fractions are 425/458,780/839
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 425/458,780/839, numerators are 425,780
Denominators are 458,839
The GCF of 425,780 is 5 .
LCM of 458,839 is 384262.
The greatest common factor of 425/458,780/839 = [GCF of 425,780]/[LCM of 458,839]= 5/384262
Therefore, the GCF of 425/458,780/839 is 5/384262.
To find the highest common factor of 425,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 425,780 is 5.
Lets's calculate GCF of 425,780
| 5 | 425, 780 |
| 85, 156 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 425,780 By Matching Biggest Common Factor Method
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 425,780 . The biggest common factor number is the GCF number.
So the greatest common factor 425,780 is 5.
Lets's calculate LCM of 458,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 384262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/384262
Therefore, the GCF of Fractions 425/458,780/839 is 5/384262
Least Common Multiple of 458,839 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 458,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,839) x common factors =1 x 1 = 1
LCM(458,839) = ( 458 × 839 ) / 1
LCM(458,839) = 384262 / 1
LCM(458,839) = 384262
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FAQs on GCF of Fractions of 425/458, 780/839
1. What is the HCF of 425,780?
The HCF of 425,780 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 425/458, 780/839?
Answer: GCF of Numerators as per given numbers 425/458, 780/839 is
GCF of Numerators i.e. for 425,780 is 5
LCM of denominators i.e. for 458,839 is 384262.
Thus, GCF of Fractions is 5/384262.Finally, GCF of Fractions for 425/458, 780/839 is 5/384262.