GCF of 6412/787, 1314/1098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6412/787, 1314/1098 i.e 2/864126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6412/787, 1314/1098.
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 6412/787,1314/1098?
Given fractions are 6412/787,1314/1098
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 6412/787,1314/1098, numerators are 6412,1314
Denominators are 787,1098
The GCF of 6412,1314 is 2 .
LCM of 787,1098 is 864126.
The greatest common factor of 6412/787,1314/1098 = [GCF of 6412,1314]/[LCM of 787,1098]= 2/864126
Therefore, the GCF of 6412/787,1314/1098 is 2/864126.
To find the highest common factor of 6412,1314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6412 are 1, 2, 4, 7, 14, 28, 229, 458, 916, 1603, 3206, 6412
The factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
The HCF of 6412,1314 is 2.
Lets's calculate GCF of 6412,1314
| 2 | 6412, 1314 |
| 3206, 657 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6412,1314 By Matching Biggest Common Factor Method
Now, list down the factors of 6412
:1,2,4,7,14,28,229,458,916,1603,3206,6412
Now, list down the factors of 1314
:1,2,3,6,9,18,73,146,219,438,657,1314
Greatest Common Factor
We found the factors 6412,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 6412,1314 is 2.
Lets's calculate LCM of 787,1098
Given numbers has no common factors except 1. So, there LCM is their product i.e 864126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/864126
Therefore, the GCF of Fractions 6412/787,1314/1098 is 2/864126
Least Common Multiple of 787,1098 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 787,1098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,1098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,1098) x common factors =1 x 1 = 1
LCM(787,1098) = ( 787 × 1098 ) / 1
LCM(787,1098) = 864126 / 1
LCM(787,1098) = 864126
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FAQs on GCF of Fractions of 6412/787, 1314/1098
1. What is the HCF of 6412,1314?
The HCF of 6412,1314 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 6412/787, 1314/1098?
Answer: GCF of Numerators as per given numbers 6412/787, 1314/1098 is
GCF of Numerators i.e. for 6412,1314 is 2
LCM of denominators i.e. for 787,1098 is 864126.
Thus, GCF of Fractions is 2/864126.Finally, GCF of Fractions for 6412/787, 1314/1098 is 2/864126.