GCF of 8970/696, 2005/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8970/696, 2005/758 i.e 5/263784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8970/696, 2005/758.
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 8970/696,2005/758?
Given fractions are 8970/696,2005/758
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 8970/696,2005/758, numerators are 8970,2005
Denominators are 696,758
The GCF of 8970,2005 is 5 .
LCM of 696,758 is 263784.
The greatest common factor of 8970/696,2005/758 = [GCF of 8970,2005]/[LCM of 696,758]= 5/263784
Therefore, the GCF of 8970/696,2005/758 is 5/263784.
To find the highest common factor of 8970,2005, we have to find the factors of both numbers and list the highest common factor.
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The factors of 2005 are 1, 5, 401, 2005
The HCF of 8970,2005 is 5.
Lets's calculate GCF of 8970,2005
| 5 | 8970, 2005 |
| 1794, 401 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8970,2005 By Matching Biggest Common Factor Method
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Now, list down the factors of 2005
:1,5,401,2005
Greatest Common Factor
We found the factors 8970,2005 . The biggest common factor number is the GCF number.
So the greatest common factor 8970,2005 is 5.
Lets's calculate LCM of 696,758
| 2 | 696, 758 |
| 348, 379 |
∴ So the LCM of the given numbers is 2 x 348 x 379 = 263784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/263784
Therefore, the GCF of Fractions 8970/696,2005/758 is 5/263784
Least Common Multiple of 696,758 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 696,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(696,758) x common factors =2 x 1 = 2
LCM(696,758) = ( 696 × 758 ) / 2
LCM(696,758) = 527568 / 2
LCM(696,758) = 263784
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FAQs on GCF of Fractions of 8970/696, 2005/758
1. What is the HCF of 8970,2005?
The HCF of 8970,2005 is 5
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 8970/696, 2005/758?
Answer: GCF of Numerators as per given numbers 8970/696, 2005/758 is
GCF of Numerators i.e. for 8970,2005 is 5
LCM of denominators i.e. for 696,758 is 263784.
Thus, GCF of Fractions is 5/263784.Finally, GCF of Fractions for 8970/696, 2005/758 is 5/263784.