GCF of 8414/525, 3536/2974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8414/525, 3536/2974 i.e 2/1561350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8414/525, 3536/2974.
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 8414/525,3536/2974?
Given fractions are 8414/525,3536/2974
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 8414/525,3536/2974, numerators are 8414,3536
Denominators are 525,2974
The GCF of 8414,3536 is 2 .
LCM of 525,2974 is 1561350.
The greatest common factor of 8414/525,3536/2974 = [GCF of 8414,3536]/[LCM of 525,2974]= 2/1561350
Therefore, the GCF of 8414/525,3536/2974 is 2/1561350.
To find the highest common factor of 8414,3536, we have to find the factors of both numbers and list the highest common factor.
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536
The HCF of 8414,3536 is 2.
Lets's calculate GCF of 8414,3536
| 2 | 8414, 3536 |
| 4207, 1768 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8414,3536 By Matching Biggest Common Factor Method
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
Now, list down the factors of 3536
:1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536
Greatest Common Factor
We found the factors 8414,3536 . The biggest common factor number is the GCF number.
So the greatest common factor 8414,3536 is 2.
Lets's calculate LCM of 525,2974
Given numbers has no common factors except 1. So, there LCM is their product i.e 1561350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1561350
Therefore, the GCF of Fractions 8414/525,3536/2974 is 2/1561350
Least Common Multiple of 525,2974 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 525,2974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,2974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,2974) x common factors =1 x 1 = 1
LCM(525,2974) = ( 525 × 2974 ) / 1
LCM(525,2974) = 1561350 / 1
LCM(525,2974) = 1561350
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FAQs on GCF of Fractions of 8414/525, 3536/2974
1. What is the HCF of 8414,3536?
The HCF of 8414,3536 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 8414/525, 3536/2974?
Answer: GCF of Numerators as per given numbers 8414/525, 3536/2974 is
GCF of Numerators i.e. for 8414,3536 is 2
LCM of denominators i.e. for 525,2974 is 1561350.
Thus, GCF of Fractions is 2/1561350.Finally, GCF of Fractions for 8414/525, 3536/2974 is 2/1561350.