GCF of 3014/275, 6432/6974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3014/275, 6432/6974 i.e 2/174350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3014/275, 6432/6974.
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 3014/275,6432/6974?
Given fractions are 3014/275,6432/6974
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 3014/275,6432/6974, numerators are 3014,6432
Denominators are 275,6974
The GCF of 3014,6432 is 2 .
LCM of 275,6974 is 174350.
The greatest common factor of 3014/275,6432/6974 = [GCF of 3014,6432]/[LCM of 275,6974]= 2/174350
Therefore, the GCF of 3014/275,6432/6974 is 2/174350.
To find the highest common factor of 3014,6432, we have to find the factors of both numbers and list the highest common factor.
The factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014
The factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432
The HCF of 3014,6432 is 2.
Lets's calculate GCF of 3014,6432
| 2 | 3014, 6432 |
| 1507, 3216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3014,6432 By Matching Biggest Common Factor Method
Now, list down the factors of 3014
:1,2,11,22,137,274,1507,3014
Now, list down the factors of 6432
:1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Greatest Common Factor
We found the factors 3014,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 3014,6432 is 2.
Lets's calculate LCM of 275,6974
| 11 | 275, 6974 |
| 25, 634 |
∴ So the LCM of the given numbers is 11 x 25 x 634 = 174350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174350
Therefore, the GCF of Fractions 3014/275,6432/6974 is 2/174350
Least Common Multiple of 275,6974 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 275,6974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,6974) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,6974) x common factors =11 x 1 = 11
LCM(275,6974) = ( 275 × 6974 ) / 11
LCM(275,6974) = 1917850 / 11
LCM(275,6974) = 174350
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FAQs on GCF of Fractions of 3014/275, 6432/6974
1. What is the HCF of 3014,6432?
The HCF of 3014,6432 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 3014/275, 6432/6974?
Answer: GCF of Numerators as per given numbers 3014/275, 6432/6974 is
GCF of Numerators i.e. for 3014,6432 is 2
LCM of denominators i.e. for 275,6974 is 174350.
Thus, GCF of Fractions is 2/174350.Finally, GCF of Fractions for 3014/275, 6432/6974 is 2/174350.