GCF of 2390/850, 7724/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2390/850, 7724/680 i.e 2/3400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2390/850, 7724/680.
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 2390/850,7724/680?
Given fractions are 2390/850,7724/680
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 2390/850,7724/680, numerators are 2390,7724
Denominators are 850,680
The GCF of 2390,7724 is 2 .
LCM of 850,680 is 3400.
The greatest common factor of 2390/850,7724/680 = [GCF of 2390,7724]/[LCM of 850,680]= 2/3400
Therefore, the GCF of 2390/850,7724/680 is 2/3400.
To find the highest common factor of 2390,7724, we have to find the factors of both numbers and list the highest common factor.
The factors of 2390 are 1, 2, 5, 10, 239, 478, 1195, 2390
The factors of 7724 are 1, 2, 4, 1931, 3862, 7724
The HCF of 2390,7724 is 2.
Lets's calculate GCF of 2390,7724
| 2 | 2390, 7724 |
| 1195, 3862 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2390,7724 By Matching Biggest Common Factor Method
Now, list down the factors of 2390
:1,2,5,10,239,478,1195,2390
Now, list down the factors of 7724
:1,2,4,1931,3862,7724
Greatest Common Factor
We found the factors 2390,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 2390,7724 is 2.
Lets's calculate LCM of 850,680
| 2 | 850, 680 |
| 5 | 425, 340 |
| 17 | 85, 68 |
| 5, 4 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 5 x 4 = 3400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3400
Therefore, the GCF of Fractions 2390/850,7724/680 is 2/3400
Least Common Multiple of 850,680 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 850,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,680) = 170
common factors(in case of two or more numbers have common factors) = 1
GCF(850,680) x common factors =170 x 1 = 170
LCM(850,680) = ( 850 × 680 ) / 170
LCM(850,680) = 578000 / 170
LCM(850,680) = 3400
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FAQs on GCF of Fractions of 2390/850, 7724/680
1. What is the HCF of 2390,7724?
The HCF of 2390,7724 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 2390/850, 7724/680?
Answer: GCF of Numerators as per given numbers 2390/850, 7724/680 is
GCF of Numerators i.e. for 2390,7724 is 2
LCM of denominators i.e. for 850,680 is 3400.
Thus, GCF of Fractions is 2/3400.Finally, GCF of Fractions for 2390/850, 7724/680 is 2/3400.