GCF of 8574/738, 1582/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8574/738, 1582/757 i.e 2/558666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8574/738, 1582/757.
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 8574/738,1582/757?
Given fractions are 8574/738,1582/757
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 8574/738,1582/757, numerators are 8574,1582
Denominators are 738,757
The GCF of 8574,1582 is 2 .
LCM of 738,757 is 558666.
The greatest common factor of 8574/738,1582/757 = [GCF of 8574,1582]/[LCM of 738,757]= 2/558666
Therefore, the GCF of 8574/738,1582/757 is 2/558666.
To find the highest common factor of 8574,1582, we have to find the factors of both numbers and list the highest common factor.
The factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574
The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582
The HCF of 8574,1582 is 2.
Lets's calculate GCF of 8574,1582
| 2 | 8574, 1582 |
| 4287, 791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8574,1582 By Matching Biggest Common Factor Method
Now, list down the factors of 8574
:1,2,3,6,1429,2858,4287,8574
Now, list down the factors of 1582
:1,2,7,14,113,226,791,1582
Greatest Common Factor
We found the factors 8574,1582 . The biggest common factor number is the GCF number.
So the greatest common factor 8574,1582 is 2.
Lets's calculate LCM of 738,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 558666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/558666
Therefore, the GCF of Fractions 8574/738,1582/757 is 2/558666
Least Common Multiple of 738,757 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 738,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,757) x common factors =1 x 1 = 1
LCM(738,757) = ( 738 × 757 ) / 1
LCM(738,757) = 558666 / 1
LCM(738,757) = 558666
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FAQs on GCF of Fractions of 8574/738, 1582/757
1. What is the HCF of 8574,1582?
The HCF of 8574,1582 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 8574/738, 1582/757?
Answer: GCF of Numerators as per given numbers 8574/738, 1582/757 is
GCF of Numerators i.e. for 8574,1582 is 2
LCM of denominators i.e. for 738,757 is 558666.
Thus, GCF of Fractions is 2/558666.Finally, GCF of Fractions for 8574/738, 1582/757 is 2/558666.