GCF of 430/696, 7064/2912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/696, 7064/2912 i.e 2/253344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/696, 7064/2912.
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 430/696,7064/2912?
Given fractions are 430/696,7064/2912
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 430/696,7064/2912, numerators are 430,7064
Denominators are 696,2912
The GCF of 430,7064 is 2 .
LCM of 696,2912 is 253344.
The greatest common factor of 430/696,7064/2912 = [GCF of 430,7064]/[LCM of 696,2912]= 2/253344
Therefore, the GCF of 430/696,7064/2912 is 2/253344.
To find the highest common factor of 430,7064, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The HCF of 430,7064 is 2.
Lets's calculate GCF of 430,7064
| 2 | 430, 7064 |
| 215, 3532 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 430,7064 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Greatest Common Factor
We found the factors 430,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 430,7064 is 2.
Lets's calculate LCM of 696,2912
| 2 | 696, 2912 |
| 2 | 348, 1456 |
| 2 | 174, 728 |
| 87, 364 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 364 = 253344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253344
Therefore, the GCF of Fractions 430/696,7064/2912 is 2/253344
Least Common Multiple of 696,2912 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 696,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,2912) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(696,2912) x common factors =8 x 1 = 8
LCM(696,2912) = ( 696 × 2912 ) / 8
LCM(696,2912) = 2026752 / 8
LCM(696,2912) = 253344
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FAQs on GCF of Fractions of 430/696, 7064/2912
1. What is the HCF of 430,7064?
The HCF of 430,7064 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 430/696, 7064/2912?
Answer: GCF of Numerators as per given numbers 430/696, 7064/2912 is
GCF of Numerators i.e. for 430,7064 is 2
LCM of denominators i.e. for 696,2912 is 253344.
Thus, GCF of Fractions is 2/253344.Finally, GCF of Fractions for 430/696, 7064/2912 is 2/253344.