GCF of 735/213, 748/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 735/213, 748/511 i.e 1/108843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 735/213, 748/511.
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 735/213,748/511?
Given fractions are 735/213,748/511
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 735/213,748/511, numerators are 735,748
Denominators are 213,511
The GCF of 735,748 is 1 .
LCM of 213,511 is 108843.
The greatest common factor of 735/213,748/511 = [GCF of 735,748]/[LCM of 213,511]= 1/108843
Therefore, the GCF of 735/213,748/511 is 1/108843.
To find the highest common factor of 735,748, we have to find the factors of both numbers and list the highest common factor.
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The HCF of 735,748 is 1.
Lets's calculate GCF of 735,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 735,748 By Matching Biggest Common Factor Method
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 735,748 . The biggest common factor number is the GCF number.
So the greatest common factor 735,748 is 1.
Lets's calculate LCM of 213,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 108843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108843
Therefore, the GCF of Fractions 735/213,748/511 is 1/108843
Least Common Multiple of 213,511 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 213,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,511) x common factors =1 x 1 = 1
LCM(213,511) = ( 213 × 511 ) / 1
LCM(213,511) = 108843 / 1
LCM(213,511) = 108843
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FAQs on GCF of Fractions of 735/213, 748/511
1. What is the HCF of 735,748?
The HCF of 735,748 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 735/213, 748/511?
Answer: GCF of Numerators as per given numbers 735/213, 748/511 is
GCF of Numerators i.e. for 735,748 is 1
LCM of denominators i.e. for 213,511 is 108843.
Thus, GCF of Fractions is 1/108843.Finally, GCF of Fractions for 735/213, 748/511 is 1/108843.