GCF of 4102/686, 7456/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4102/686, 7456/680 i.e 2/233240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4102/686, 7456/680.
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 4102/686,7456/680?
Given fractions are 4102/686,7456/680
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 4102/686,7456/680, numerators are 4102,7456
Denominators are 686,680
The GCF of 4102,7456 is 2 .
LCM of 686,680 is 233240.
The greatest common factor of 4102/686,7456/680 = [GCF of 4102,7456]/[LCM of 686,680]= 2/233240
Therefore, the GCF of 4102/686,7456/680 is 2/233240.
To find the highest common factor of 4102,7456, we have to find the factors of both numbers and list the highest common factor.
The factors of 4102 are 1, 2, 7, 14, 293, 586, 2051, 4102
The factors of 7456 are 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456
The HCF of 4102,7456 is 2.
Lets's calculate GCF of 4102,7456
| 2 | 4102, 7456 |
| 2051, 3728 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4102,7456 By Matching Biggest Common Factor Method
Now, list down the factors of 4102
:1,2,7,14,293,586,2051,4102
Now, list down the factors of 7456
:1,2,4,8,16,32,233,466,932,1864,3728,7456
Greatest Common Factor
We found the factors 4102,7456 . The biggest common factor number is the GCF number.
So the greatest common factor 4102,7456 is 2.
Lets's calculate LCM of 686,680
| 2 | 686, 680 |
| 343, 340 |
∴ So the LCM of the given numbers is 2 x 343 x 340 = 233240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233240
Therefore, the GCF of Fractions 4102/686,7456/680 is 2/233240
Least Common Multiple of 686,680 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 686,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,680) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,680) x common factors =2 x 1 = 2
LCM(686,680) = ( 686 × 680 ) / 2
LCM(686,680) = 466480 / 2
LCM(686,680) = 233240
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FAQs on GCF of Fractions of 4102/686, 7456/680
1. What is the HCF of 4102,7456?
The HCF of 4102,7456 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 4102/686, 7456/680?
Answer: GCF of Numerators as per given numbers 4102/686, 7456/680 is
GCF of Numerators i.e. for 4102,7456 is 2
LCM of denominators i.e. for 686,680 is 233240.
Thus, GCF of Fractions is 2/233240.Finally, GCF of Fractions for 4102/686, 7456/680 is 2/233240.