GCF of 6959/350, 8480/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6959/350, 8480/688 i.e 1/120400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6959/350, 8480/688.
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 6959/350,8480/688?
Given fractions are 6959/350,8480/688
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 6959/350,8480/688, numerators are 6959,8480
Denominators are 350,688
The GCF of 6959,8480 is 1 .
LCM of 350,688 is 120400.
The greatest common factor of 6959/350,8480/688 = [GCF of 6959,8480]/[LCM of 350,688]= 1/120400
Therefore, the GCF of 6959/350,8480/688 is 1/120400.
To find the highest common factor of 6959,8480, we have to find the factors of both numbers and list the highest common factor.
The factors of 6959 are 1, 6959
The factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480
The HCF of 6959,8480 is 1.
Lets's calculate GCF of 6959,8480
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6959,8480 By Matching Biggest Common Factor Method
Now, list down the factors of 6959
:1,6959
Now, list down the factors of 8480
:1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480
Greatest Common Factor
We found the factors 6959,8480 . The biggest common factor number is the GCF number.
So the greatest common factor 6959,8480 is 1.
Lets's calculate LCM of 350,688
| 2 | 350, 688 |
| 175, 344 |
∴ So the LCM of the given numbers is 2 x 175 x 344 = 120400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120400
Therefore, the GCF of Fractions 6959/350,8480/688 is 1/120400
Least Common Multiple of 350,688 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 350,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,688) x common factors =2 x 1 = 2
LCM(350,688) = ( 350 × 688 ) / 2
LCM(350,688) = 240800 / 2
LCM(350,688) = 120400
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FAQs on GCF of Fractions of 6959/350, 8480/688
1. What is the HCF of 6959,8480?
The HCF of 6959,8480 is 1
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 6959/350, 8480/688?
Answer: GCF of Numerators as per given numbers 6959/350, 8480/688 is
GCF of Numerators i.e. for 6959,8480 is 1
LCM of denominators i.e. for 350,688 is 120400.
Thus, GCF of Fractions is 1/120400.Finally, GCF of Fractions for 6959/350, 8480/688 is 1/120400.