GCF of 1429/861, 8322/2528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1429/861, 8322/2528 i.e 1/2176608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1429/861, 8322/2528.
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 1429/861,8322/2528?
Given fractions are 1429/861,8322/2528
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 1429/861,8322/2528, numerators are 1429,8322
Denominators are 861,2528
The GCF of 1429,8322 is 1 .
LCM of 861,2528 is 2176608.
The greatest common factor of 1429/861,8322/2528 = [GCF of 1429,8322]/[LCM of 861,2528]= 1/2176608
Therefore, the GCF of 1429/861,8322/2528 is 1/2176608.
To find the highest common factor of 1429,8322, we have to find the factors of both numbers and list the highest common factor.
The factors of 1429 are 1, 1429
The factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
The HCF of 1429,8322 is 1.
Lets's calculate GCF of 1429,8322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1429,8322 By Matching Biggest Common Factor Method
Now, list down the factors of 1429
:1,1429
Now, list down the factors of 8322
:1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Greatest Common Factor
We found the factors 1429,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 1429,8322 is 1.
Lets's calculate LCM of 861,2528
Given numbers has no common factors except 1. So, there LCM is their product i.e 2176608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2176608
Therefore, the GCF of Fractions 1429/861,8322/2528 is 1/2176608
Least Common Multiple of 861,2528 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 861,2528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,2528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,2528) x common factors =1 x 1 = 1
LCM(861,2528) = ( 861 × 2528 ) / 1
LCM(861,2528) = 2176608 / 1
LCM(861,2528) = 2176608
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FAQs on GCF of Fractions of 1429/861, 8322/2528
1. What is the HCF of 1429,8322?
The HCF of 1429,8322 is 1
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 1429/861, 8322/2528?
Answer: GCF of Numerators as per given numbers 1429/861, 8322/2528 is
GCF of Numerators i.e. for 1429,8322 is 1
LCM of denominators i.e. for 861,2528 is 2176608.
Thus, GCF of Fractions is 1/2176608.Finally, GCF of Fractions for 1429/861, 8322/2528 is 1/2176608.