GCF of 686/127, 958/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 686/127, 958/624 i.e 2/79248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 686/127, 958/624.
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 686/127,958/624?
Given fractions are 686/127,958/624
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 686/127,958/624, numerators are 686,958
Denominators are 127,624
The GCF of 686,958 is 2 .
LCM of 127,624 is 79248.
The greatest common factor of 686/127,958/624 = [GCF of 686,958]/[LCM of 127,624]= 2/79248
Therefore, the GCF of 686/127,958/624 is 2/79248.
To find the highest common factor of 686,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The factors of 958 are 1, 2, 479, 958
The HCF of 686,958 is 2.
Lets's calculate GCF of 686,958
| 2 | 686, 958 |
| 343, 479 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 686,958 By Matching Biggest Common Factor Method
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 686,958 . The biggest common factor number is the GCF number.
So the greatest common factor 686,958 is 2.
Lets's calculate LCM of 127,624
Given numbers has no common factors except 1. So, there LCM is their product i.e 79248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79248
Therefore, the GCF of Fractions 686/127,958/624 is 2/79248
Least Common Multiple of 127,624 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 127,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,624) x common factors =1 x 1 = 1
LCM(127,624) = ( 127 × 624 ) / 1
LCM(127,624) = 79248 / 1
LCM(127,624) = 79248
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FAQs on GCF of Fractions of 686/127, 958/624
1. What is the HCF of 686,958?
The HCF of 686,958 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 686/127, 958/624?
Answer: GCF of Numerators as per given numbers 686/127, 958/624 is
GCF of Numerators i.e. for 686,958 is 2
LCM of denominators i.e. for 127,624 is 79248.
Thus, GCF of Fractions is 2/79248.Finally, GCF of Fractions for 686/127, 958/624 is 2/79248.