GCF of 453/747, 771/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/747, 771/752 i.e 3/561744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/747, 771/752.
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 453/747,771/752?
Given fractions are 453/747,771/752
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 453/747,771/752, numerators are 453,771
Denominators are 747,752
The GCF of 453,771 is 3 .
LCM of 747,752 is 561744.
The greatest common factor of 453/747,771/752 = [GCF of 453,771]/[LCM of 747,752]= 3/561744
Therefore, the GCF of 453/747,771/752 is 3/561744.
To find the highest common factor of 453,771, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 771 are 1, 3, 257, 771
The HCF of 453,771 is 3.
Lets's calculate GCF of 453,771
| 3 | 453, 771 |
| 151, 257 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 453,771 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 771
:1,3,257,771
Greatest Common Factor
We found the factors 453,771 . The biggest common factor number is the GCF number.
So the greatest common factor 453,771 is 3.
Lets's calculate LCM of 747,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 561744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/561744
Therefore, the GCF of Fractions 453/747,771/752 is 3/561744
Least Common Multiple of 747,752 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 747,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,752) x common factors =1 x 1 = 1
LCM(747,752) = ( 747 × 752 ) / 1
LCM(747,752) = 561744 / 1
LCM(747,752) = 561744
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FAQs on GCF of Fractions of 453/747, 771/752
1. What is the HCF of 453,771?
The HCF of 453,771 is 3
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 453/747, 771/752?
Answer: GCF of Numerators as per given numbers 453/747, 771/752 is
GCF of Numerators i.e. for 453,771 is 3
LCM of denominators i.e. for 747,752 is 561744.
Thus, GCF of Fractions is 3/561744.Finally, GCF of Fractions for 453/747, 771/752 is 3/561744.