GCF of 556/214, 719/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 556/214, 719/428 i.e 1/428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/214, 719/428.
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 556/214,719/428?
Given fractions are 556/214,719/428
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 556/214,719/428, numerators are 556,719
Denominators are 214,428
The GCF of 556,719 is 1 .
LCM of 214,428 is 428.
The greatest common factor of 556/214,719/428 = [GCF of 556,719]/[LCM of 214,428]= 1/428
Therefore, the GCF of 556/214,719/428 is 1/428.
To find the highest common factor of 556,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 556 are 1, 2, 4, 139, 278, 556
The factors of 719 are 1, 719
The HCF of 556,719 is 1.
Lets's calculate GCF of 556,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 556,719 By Matching Biggest Common Factor Method
Now, list down the factors of 556
:1,2,4,139,278,556
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 556,719 . The biggest common factor number is the GCF number.
So the greatest common factor 556,719 is 1.
Lets's calculate LCM of 214,428
| 2 | 214, 428 |
| 107 | 107, 214 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 107 x 1 x 2 = 428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428
Therefore, the GCF of Fractions 556/214,719/428 is 1/428
Least Common Multiple of 214,428 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 214,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,428) = 214
common factors(in case of two or more numbers have common factors) = 1
GCF(214,428) x common factors =214 x 1 = 214
LCM(214,428) = ( 214 × 428 ) / 214
LCM(214,428) = 91592 / 214
LCM(214,428) = 428
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FAQs on GCF of Fractions of 556/214, 719/428
1. What is the HCF of 556,719?
The HCF of 556,719 is 1
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 556/214, 719/428?
Answer: GCF of Numerators as per given numbers 556/214, 719/428 is
GCF of Numerators i.e. for 556,719 is 1
LCM of denominators i.e. for 214,428 is 428.
Thus, GCF of Fractions is 1/428.Finally, GCF of Fractions for 556/214, 719/428 is 1/428.