GCF of 7142/896, 1432/6491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7142/896, 1432/6491 i.e 2/5815936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7142/896, 1432/6491.
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 7142/896,1432/6491?
Given fractions are 7142/896,1432/6491
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 7142/896,1432/6491, numerators are 7142,1432
Denominators are 896,6491
The GCF of 7142,1432 is 2 .
LCM of 896,6491 is 5815936.
The greatest common factor of 7142/896,1432/6491 = [GCF of 7142,1432]/[LCM of 896,6491]= 2/5815936
Therefore, the GCF of 7142/896,1432/6491 is 2/5815936.
To find the highest common factor of 7142,1432, we have to find the factors of both numbers and list the highest common factor.
The factors of 7142 are 1, 2, 3571, 7142
The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432
The HCF of 7142,1432 is 2.
Lets's calculate GCF of 7142,1432
| 2 | 7142, 1432 |
| 3571, 716 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7142,1432 By Matching Biggest Common Factor Method
Now, list down the factors of 7142
:1,2,3571,7142
Now, list down the factors of 1432
:1,2,4,8,179,358,716,1432
Greatest Common Factor
We found the factors 7142,1432 . The biggest common factor number is the GCF number.
So the greatest common factor 7142,1432 is 2.
Lets's calculate LCM of 896,6491
Given numbers has no common factors except 1. So, there LCM is their product i.e 5815936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5815936
Therefore, the GCF of Fractions 7142/896,1432/6491 is 2/5815936
Least Common Multiple of 896,6491 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 896,6491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,6491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,6491) x common factors =1 x 1 = 1
LCM(896,6491) = ( 896 × 6491 ) / 1
LCM(896,6491) = 5815936 / 1
LCM(896,6491) = 5815936
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FAQs on GCF of Fractions of 7142/896, 1432/6491
1. What is the HCF of 7142,1432?
The HCF of 7142,1432 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 7142/896, 1432/6491?
Answer: GCF of Numerators as per given numbers 7142/896, 1432/6491 is
GCF of Numerators i.e. for 7142,1432 is 2
LCM of denominators i.e. for 896,6491 is 5815936.
Thus, GCF of Fractions is 2/5815936.Finally, GCF of Fractions for 7142/896, 1432/6491 is 2/5815936.