GCF of 557/867, 5345/5412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 557/867, 5345/5412 i.e 1/1564068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/867, 5345/5412.
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 557/867,5345/5412?
Given fractions are 557/867,5345/5412
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 557/867,5345/5412, numerators are 557,5345
Denominators are 867,5412
The GCF of 557,5345 is 1 .
LCM of 867,5412 is 1564068.
The greatest common factor of 557/867,5345/5412 = [GCF of 557,5345]/[LCM of 867,5412]= 1/1564068
Therefore, the GCF of 557/867,5345/5412 is 1/1564068.
To find the highest common factor of 557,5345, we have to find the factors of both numbers and list the highest common factor.
The factors of 557 are 1, 557
The factors of 5345 are 1, 5, 1069, 5345
The HCF of 557,5345 is 1.
Lets's calculate GCF of 557,5345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 557,5345 By Matching Biggest Common Factor Method
Now, list down the factors of 557
:1,557
Now, list down the factors of 5345
:1,5,1069,5345
Greatest Common Factor
We found the factors 557,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 557,5345 is 1.
Lets's calculate LCM of 867,5412
| 3 | 867, 5412 |
| 289, 1804 |
∴ So the LCM of the given numbers is 3 x 289 x 1804 = 1564068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1564068
Therefore, the GCF of Fractions 557/867,5345/5412 is 1/1564068
Least Common Multiple of 867,5412 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 867,5412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,5412) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,5412) x common factors =3 x 1 = 3
LCM(867,5412) = ( 867 × 5412 ) / 3
LCM(867,5412) = 4692204 / 3
LCM(867,5412) = 1564068
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FAQs on GCF of Fractions of 557/867, 5345/5412
1. What is the HCF of 557,5345?
The HCF of 557,5345 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 557/867, 5345/5412?
Answer: GCF of Numerators as per given numbers 557/867, 5345/5412 is
GCF of Numerators i.e. for 557,5345 is 1
LCM of denominators i.e. for 867,5412 is 1564068.
Thus, GCF of Fractions is 1/1564068.Finally, GCF of Fractions for 557/867, 5345/5412 is 1/1564068.