GCF of 3458/286, 8930/7809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3458/286, 8930/7809 i.e 38/2233374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3458/286, 8930/7809.
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 3458/286,8930/7809?
Given fractions are 3458/286,8930/7809
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 3458/286,8930/7809, numerators are 3458,8930
Denominators are 286,7809
The GCF of 3458,8930 is 38 .
LCM of 286,7809 is 2233374.
The greatest common factor of 3458/286,8930/7809 = [GCF of 3458,8930]/[LCM of 286,7809]= 38/2233374
Therefore, the GCF of 3458/286,8930/7809 is 38/2233374.
To find the highest common factor of 3458,8930, we have to find the factors of both numbers and list the highest common factor.
The factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458
The factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930
The HCF of 3458,8930 is 38.
Lets's calculate GCF of 3458,8930
| 2 | 3458, 8930 |
| 19 | 1729, 4465 |
| 91, 235 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 3458,8930 By Matching Biggest Common Factor Method
Now, list down the factors of 3458
:1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458
Now, list down the factors of 8930
:1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
Greatest Common Factor
We found the factors 3458,8930 . The biggest common factor number is the GCF number.
So the greatest common factor 3458,8930 is 38.
Lets's calculate LCM of 286,7809
Given numbers has no common factors except 1. So, there LCM is their product i.e 2233374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/2233374
Therefore, the GCF of Fractions 3458/286,8930/7809 is 38/2233374
Least Common Multiple of 286,7809 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 286,7809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,7809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(286,7809) x common factors =1 x 1 = 1
LCM(286,7809) = ( 286 × 7809 ) / 1
LCM(286,7809) = 2233374 / 1
LCM(286,7809) = 2233374
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FAQs on GCF of Fractions of 3458/286, 8930/7809
1. What is the HCF of 3458,8930?
The HCF of 3458,8930 is 38
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 3458/286, 8930/7809?
Answer: GCF of Numerators as per given numbers 3458/286, 8930/7809 is
GCF of Numerators i.e. for 3458,8930 is 38
LCM of denominators i.e. for 286,7809 is 2233374.
Thus, GCF of Fractions is 38/2233374.Finally, GCF of Fractions for 3458/286, 8930/7809 is 38/2233374.