GCF of 662/785, 7132/5735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 662/785, 7132/5735 i.e 2/900395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/785, 7132/5735.
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 662/785,7132/5735?
Given fractions are 662/785,7132/5735
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 662/785,7132/5735, numerators are 662,7132
Denominators are 785,5735
The GCF of 662,7132 is 2 .
LCM of 785,5735 is 900395.
The greatest common factor of 662/785,7132/5735 = [GCF of 662,7132]/[LCM of 785,5735]= 2/900395
Therefore, the GCF of 662/785,7132/5735 is 2/900395.
To find the highest common factor of 662,7132, we have to find the factors of both numbers and list the highest common factor.
The factors of 662 are 1, 2, 331, 662
The factors of 7132 are 1, 2, 4, 1783, 3566, 7132
The HCF of 662,7132 is 2.
Lets's calculate GCF of 662,7132
| 2 | 662, 7132 |
| 331, 3566 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 662,7132 By Matching Biggest Common Factor Method
Now, list down the factors of 662
:1,2,331,662
Now, list down the factors of 7132
:1,2,4,1783,3566,7132
Greatest Common Factor
We found the factors 662,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 662,7132 is 2.
Lets's calculate LCM of 785,5735
| 5 | 785, 5735 |
| 157, 1147 |
∴ So the LCM of the given numbers is 5 x 157 x 1147 = 900395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/900395
Therefore, the GCF of Fractions 662/785,7132/5735 is 2/900395
Least Common Multiple of 785,5735 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 785,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,5735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(785,5735) x common factors =5 x 1 = 5
LCM(785,5735) = ( 785 × 5735 ) / 5
LCM(785,5735) = 4501975 / 5
LCM(785,5735) = 900395
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FAQs on GCF of Fractions of 662/785, 7132/5735
1. What is the HCF of 662,7132?
The HCF of 662,7132 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 662/785, 7132/5735?
Answer: GCF of Numerators as per given numbers 662/785, 7132/5735 is
GCF of Numerators i.e. for 662,7132 is 2
LCM of denominators i.e. for 785,5735 is 900395.
Thus, GCF of Fractions is 2/900395.Finally, GCF of Fractions for 662/785, 7132/5735 is 2/900395.