GCF of 3374/882, 7350/9714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3374/882, 7350/9714 i.e 14/1427958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3374/882, 7350/9714.
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 3374/882,7350/9714?
Given fractions are 3374/882,7350/9714
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 3374/882,7350/9714, numerators are 3374,7350
Denominators are 882,9714
The GCF of 3374,7350 is 14 .
LCM of 882,9714 is 1427958.
The greatest common factor of 3374/882,7350/9714 = [GCF of 3374,7350]/[LCM of 882,9714]= 14/1427958
Therefore, the GCF of 3374/882,7350/9714 is 14/1427958.
To find the highest common factor of 3374,7350, we have to find the factors of both numbers and list the highest common factor.
The factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The HCF of 3374,7350 is 14.
Lets's calculate GCF of 3374,7350
| 2 | 3374, 7350 |
| 7 | 1687, 3675 |
| 241, 525 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3374,7350 By Matching Biggest Common Factor Method
Now, list down the factors of 3374
:1,2,7,14,241,482,1687,3374
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Greatest Common Factor
We found the factors 3374,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 3374,7350 is 14.
Lets's calculate LCM of 882,9714
| 2 | 882, 9714 |
| 3 | 441, 4857 |
| 147, 1619 |
∴ So the LCM of the given numbers is 2 x 3 x 147 x 1619 = 1427958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1427958
Therefore, the GCF of Fractions 3374/882,7350/9714 is 14/1427958
Least Common Multiple of 882,9714 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 882,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,9714) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(882,9714) x common factors =6 x 1 = 6
LCM(882,9714) = ( 882 × 9714 ) / 6
LCM(882,9714) = 8567748 / 6
LCM(882,9714) = 1427958
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FAQs on GCF of Fractions of 3374/882, 7350/9714
1. What is the HCF of 3374,7350?
The HCF of 3374,7350 is 14
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 3374/882, 7350/9714?
Answer: GCF of Numerators as per given numbers 3374/882, 7350/9714 is
GCF of Numerators i.e. for 3374,7350 is 14
LCM of denominators i.e. for 882,9714 is 1427958.
Thus, GCF of Fractions is 14/1427958.Finally, GCF of Fractions for 3374/882, 7350/9714 is 14/1427958.