GCF of 511/747, 114/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/747, 114/753 i.e 1/187497 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/747, 114/753.
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 511/747,114/753?
Given fractions are 511/747,114/753
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 511/747,114/753, numerators are 511,114
Denominators are 747,753
The GCF of 511,114 is 1 .
LCM of 747,753 is 187497.
The greatest common factor of 511/747,114/753 = [GCF of 511,114]/[LCM of 747,753]= 1/187497
Therefore, the GCF of 511/747,114/753 is 1/187497.
To find the highest common factor of 511,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 511,114 is 1.
Lets's calculate GCF of 511,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,114 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 511,114 . The biggest common factor number is the GCF number.
So the greatest common factor 511,114 is 1.
Lets's calculate LCM of 747,753
| 3 | 747, 753 |
| 249, 251 |
∴ So the LCM of the given numbers is 3 x 249 x 251 = 187497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187497
Therefore, the GCF of Fractions 511/747,114/753 is 1/187497
Least Common Multiple of 747,753 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 747,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(747,753) x common factors =3 x 1 = 3
LCM(747,753) = ( 747 × 753 ) / 3
LCM(747,753) = 562491 / 3
LCM(747,753) = 187497
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FAQs on GCF of Fractions of 511/747, 114/753
1. What is the HCF of 511,114?
The HCF of 511,114 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 511/747, 114/753?
Answer: GCF of Numerators as per given numbers 511/747, 114/753 is
GCF of Numerators i.e. for 511,114 is 1
LCM of denominators i.e. for 747,753 is 187497.
Thus, GCF of Fractions is 1/187497.Finally, GCF of Fractions for 511/747, 114/753 is 1/187497.