GCF of 7948/289, 4214/1588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7948/289, 4214/1588 i.e 2/458932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7948/289, 4214/1588.
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 7948/289,4214/1588?
Given fractions are 7948/289,4214/1588
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 7948/289,4214/1588, numerators are 7948,4214
Denominators are 289,1588
The GCF of 7948,4214 is 2 .
LCM of 289,1588 is 458932.
The greatest common factor of 7948/289,4214/1588 = [GCF of 7948,4214]/[LCM of 289,1588]= 2/458932
Therefore, the GCF of 7948/289,4214/1588 is 2/458932.
To find the highest common factor of 7948,4214, we have to find the factors of both numbers and list the highest common factor.
The factors of 7948 are 1, 2, 4, 1987, 3974, 7948
The factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214
The HCF of 7948,4214 is 2.
Lets's calculate GCF of 7948,4214
| 2 | 7948, 4214 |
| 3974, 2107 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7948,4214 By Matching Biggest Common Factor Method
Now, list down the factors of 7948
:1,2,4,1987,3974,7948
Now, list down the factors of 4214
:1,2,7,14,43,49,86,98,301,602,2107,4214
Greatest Common Factor
We found the factors 7948,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 7948,4214 is 2.
Lets's calculate LCM of 289,1588
Given numbers has no common factors except 1. So, there LCM is their product i.e 458932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458932
Therefore, the GCF of Fractions 7948/289,4214/1588 is 2/458932
Least Common Multiple of 289,1588 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 289,1588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,1588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,1588) x common factors =1 x 1 = 1
LCM(289,1588) = ( 289 × 1588 ) / 1
LCM(289,1588) = 458932 / 1
LCM(289,1588) = 458932
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FAQs on GCF of Fractions of 7948/289, 4214/1588
1. What is the HCF of 7948,4214?
The HCF of 7948,4214 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 7948/289, 4214/1588?
Answer: GCF of Numerators as per given numbers 7948/289, 4214/1588 is
GCF of Numerators i.e. for 7948,4214 is 2
LCM of denominators i.e. for 289,1588 is 458932.
Thus, GCF of Fractions is 2/458932.Finally, GCF of Fractions for 7948/289, 4214/1588 is 2/458932.