GCF of 7654/158, 3622/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7654/158, 3622/523 i.e 2/82634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7654/158, 3622/523.
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 7654/158,3622/523?
Given fractions are 7654/158,3622/523
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 7654/158,3622/523, numerators are 7654,3622
Denominators are 158,523
The GCF of 7654,3622 is 2 .
LCM of 158,523 is 82634.
The greatest common factor of 7654/158,3622/523 = [GCF of 7654,3622]/[LCM of 158,523]= 2/82634
Therefore, the GCF of 7654/158,3622/523 is 2/82634.
To find the highest common factor of 7654,3622, we have to find the factors of both numbers and list the highest common factor.
The factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654
The factors of 3622 are 1, 2, 1811, 3622
The HCF of 7654,3622 is 2.
Lets's calculate GCF of 7654,3622
| 2 | 7654, 3622 |
| 3827, 1811 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7654,3622 By Matching Biggest Common Factor Method
Now, list down the factors of 7654
:1,2,43,86,89,178,3827,7654
Now, list down the factors of 3622
:1,2,1811,3622
Greatest Common Factor
We found the factors 7654,3622 . The biggest common factor number is the GCF number.
So the greatest common factor 7654,3622 is 2.
Lets's calculate LCM of 158,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 82634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82634
Therefore, the GCF of Fractions 7654/158,3622/523 is 2/82634
Least Common Multiple of 158,523 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 158,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,523) x common factors =1 x 1 = 1
LCM(158,523) = ( 158 × 523 ) / 1
LCM(158,523) = 82634 / 1
LCM(158,523) = 82634
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FAQs on GCF of Fractions of 7654/158, 3622/523
1. What is the HCF of 7654,3622?
The HCF of 7654,3622 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 7654/158, 3622/523?
Answer: GCF of Numerators as per given numbers 7654/158, 3622/523 is
GCF of Numerators i.e. for 7654,3622 is 2
LCM of denominators i.e. for 158,523 is 82634.
Thus, GCF of Fractions is 2/82634.Finally, GCF of Fractions for 7654/158, 3622/523 is 2/82634.