GCF of 740/70, 490/1364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 740/70, 490/1364 i.e 10/47740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/70, 490/1364.
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 740/70,490/1364?
Given fractions are 740/70,490/1364
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 740/70,490/1364, numerators are 740,490
Denominators are 70,1364
The GCF of 740,490 is 10 .
LCM of 70,1364 is 47740.
The greatest common factor of 740/70,490/1364 = [GCF of 740,490]/[LCM of 70,1364]= 10/47740
Therefore, the GCF of 740/70,490/1364 is 10/47740.
To find the highest common factor of 740,490, we have to find the factors of both numbers and list the highest common factor.
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 740,490 is 10.
Lets's calculate GCF of 740,490
| 2 | 740, 490 |
| 5 | 370, 245 |
| 74, 49 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 740,490 By Matching Biggest Common Factor Method
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 740,490 . The biggest common factor number is the GCF number.
So the greatest common factor 740,490 is 10.
Lets's calculate LCM of 70,1364
| 2 | 70, 1364 |
| 35, 682 |
∴ So the LCM of the given numbers is 2 x 35 x 682 = 47740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47740
Therefore, the GCF of Fractions 740/70,490/1364 is 10/47740
Least Common Multiple of 70,1364 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 70,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,1364) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,1364) x common factors =2 x 1 = 2
LCM(70,1364) = ( 70 × 1364 ) / 2
LCM(70,1364) = 95480 / 2
LCM(70,1364) = 47740
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FAQs on GCF of Fractions of 740/70, 490/1364
1. What is the HCF of 740,490?
The HCF of 740,490 is 10
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 740/70, 490/1364?
Answer: GCF of Numerators as per given numbers 740/70, 490/1364 is
GCF of Numerators i.e. for 740,490 is 10
LCM of denominators i.e. for 70,1364 is 47740.
Thus, GCF of Fractions is 10/47740.Finally, GCF of Fractions for 740/70, 490/1364 is 10/47740.