GCF of 370/742, 2878/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 370/742, 2878/714 i.e 2/37842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/742, 2878/714.
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 370/742,2878/714?
Given fractions are 370/742,2878/714
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 370/742,2878/714, numerators are 370,2878
Denominators are 742,714
The GCF of 370,2878 is 2 .
LCM of 742,714 is 37842.
The greatest common factor of 370/742,2878/714 = [GCF of 370,2878]/[LCM of 742,714]= 2/37842
Therefore, the GCF of 370/742,2878/714 is 2/37842.
To find the highest common factor of 370,2878, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 2878 are 1, 2, 1439, 2878
The HCF of 370,2878 is 2.
Lets's calculate GCF of 370,2878
| 2 | 370, 2878 |
| 185, 1439 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 370,2878 By Matching Biggest Common Factor Method
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 2878
:1,2,1439,2878
Greatest Common Factor
We found the factors 370,2878 . The biggest common factor number is the GCF number.
So the greatest common factor 370,2878 is 2.
Lets's calculate LCM of 742,714
| 2 | 742, 714 |
| 7 | 371, 357 |
| 53, 51 |
∴ So the LCM of the given numbers is 2 x 7 x 53 x 51 = 37842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37842
Therefore, the GCF of Fractions 370/742,2878/714 is 2/37842
Least Common Multiple of 742,714 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 742,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,714) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(742,714) x common factors =14 x 1 = 14
LCM(742,714) = ( 742 × 714 ) / 14
LCM(742,714) = 529788 / 14
LCM(742,714) = 37842
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FAQs on GCF of Fractions of 370/742, 2878/714
1. What is the HCF of 370,2878?
The HCF of 370,2878 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 370/742, 2878/714?
Answer: GCF of Numerators as per given numbers 370/742, 2878/714 is
GCF of Numerators i.e. for 370,2878 is 2
LCM of denominators i.e. for 742,714 is 37842.
Thus, GCF of Fractions is 2/37842.Finally, GCF of Fractions for 370/742, 2878/714 is 2/37842.