GCF of 5272/727, 6870/918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5272/727, 6870/918 i.e 2/667386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5272/727, 6870/918.
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 5272/727,6870/918?
Given fractions are 5272/727,6870/918
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 5272/727,6870/918, numerators are 5272,6870
Denominators are 727,918
The GCF of 5272,6870 is 2 .
LCM of 727,918 is 667386.
The greatest common factor of 5272/727,6870/918 = [GCF of 5272,6870]/[LCM of 727,918]= 2/667386
Therefore, the GCF of 5272/727,6870/918 is 2/667386.
To find the highest common factor of 5272,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5272 are 1, 2, 4, 8, 659, 1318, 2636, 5272
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 5272,6870 is 2.
Lets's calculate GCF of 5272,6870
| 2 | 5272, 6870 |
| 2636, 3435 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5272,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 5272
:1,2,4,8,659,1318,2636,5272
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 5272,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 5272,6870 is 2.
Lets's calculate LCM of 727,918
Given numbers has no common factors except 1. So, there LCM is their product i.e 667386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/667386
Therefore, the GCF of Fractions 5272/727,6870/918 is 2/667386
Least Common Multiple of 727,918 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 727,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,918) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,918) x common factors =1 x 1 = 1
LCM(727,918) = ( 727 × 918 ) / 1
LCM(727,918) = 667386 / 1
LCM(727,918) = 667386
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FAQs on GCF of Fractions of 5272/727, 6870/918
1. What is the HCF of 5272,6870?
The HCF of 5272,6870 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 5272/727, 6870/918?
Answer: GCF of Numerators as per given numbers 5272/727, 6870/918 is
GCF of Numerators i.e. for 5272,6870 is 2
LCM of denominators i.e. for 727,918 is 667386.
Thus, GCF of Fractions is 2/667386.Finally, GCF of Fractions for 5272/727, 6870/918 is 2/667386.