GCF of 5314/569, 7796/255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5314/569, 7796/255 i.e 2/145095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5314/569, 7796/255.
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 5314/569,7796/255?
Given fractions are 5314/569,7796/255
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 5314/569,7796/255, numerators are 5314,7796
Denominators are 569,255
The GCF of 5314,7796 is 2 .
LCM of 569,255 is 145095.
The greatest common factor of 5314/569,7796/255 = [GCF of 5314,7796]/[LCM of 569,255]= 2/145095
Therefore, the GCF of 5314/569,7796/255 is 2/145095.
To find the highest common factor of 5314,7796, we have to find the factors of both numbers and list the highest common factor.
The factors of 5314 are 1, 2, 2657, 5314
The factors of 7796 are 1, 2, 4, 1949, 3898, 7796
The HCF of 5314,7796 is 2.
Lets's calculate GCF of 5314,7796
| 2 | 5314, 7796 |
| 2657, 3898 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5314,7796 By Matching Biggest Common Factor Method
Now, list down the factors of 5314
:1,2,2657,5314
Now, list down the factors of 7796
:1,2,4,1949,3898,7796
Greatest Common Factor
We found the factors 5314,7796 . The biggest common factor number is the GCF number.
So the greatest common factor 5314,7796 is 2.
Lets's calculate LCM of 569,255
Given numbers has no common factors except 1. So, there LCM is their product i.e 145095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145095
Therefore, the GCF of Fractions 5314/569,7796/255 is 2/145095
Least Common Multiple of 569,255 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 569,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,255) x common factors =1 x 1 = 1
LCM(569,255) = ( 569 × 255 ) / 1
LCM(569,255) = 145095 / 1
LCM(569,255) = 145095
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FAQs on GCF of Fractions of 5314/569, 7796/255
1. What is the HCF of 5314,7796?
The HCF of 5314,7796 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 5314/569, 7796/255?
Answer: GCF of Numerators as per given numbers 5314/569, 7796/255 is
GCF of Numerators i.e. for 5314,7796 is 2
LCM of denominators i.e. for 569,255 is 145095.
Thus, GCF of Fractions is 2/145095.Finally, GCF of Fractions for 5314/569, 7796/255 is 2/145095.