GCF of 1022/131, 6424/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1022/131, 6424/674 i.e 146/88294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1022/131, 6424/674.
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 1022/131,6424/674?
Given fractions are 1022/131,6424/674
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 1022/131,6424/674, numerators are 1022,6424
Denominators are 131,674
The GCF of 1022,6424 is 146 .
LCM of 131,674 is 88294.
The greatest common factor of 1022/131,6424/674 = [GCF of 1022,6424]/[LCM of 131,674]= 146/88294
Therefore, the GCF of 1022/131,6424/674 is 146/88294.
To find the highest common factor of 1022,6424, we have to find the factors of both numbers and list the highest common factor.
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The HCF of 1022,6424 is 146.
Lets's calculate GCF of 1022,6424
| 2 | 1022, 6424 |
| 73 | 511, 3212 |
| 7, 44 |
∴ So the GCF of the given numbers is 2 x 73 = 146
Greatest Common Factor of 1022,6424 By Matching Biggest Common Factor Method
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Greatest Common Factor
We found the factors 1022,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 1022,6424 is 146.
Lets's calculate LCM of 131,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 88294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 146/88294
Therefore, the GCF of Fractions 1022/131,6424/674 is 146/88294
Least Common Multiple of 131,674 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 131,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,674) x common factors =1 x 1 = 1
LCM(131,674) = ( 131 × 674 ) / 1
LCM(131,674) = 88294 / 1
LCM(131,674) = 88294
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1022/131, 6424/674
1. What is the HCF of 1022,6424?
The HCF of 1022,6424 is 146
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 1022/131, 6424/674?
Answer: GCF of Numerators as per given numbers 1022/131, 6424/674 is
GCF of Numerators i.e. for 1022,6424 is 146
LCM of denominators i.e. for 131,674 is 88294.
Thus, GCF of Fractions is 146/88294.Finally, GCF of Fractions for 1022/131, 6424/674 is 146/88294.