GCF of 709/94, 768/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 709/94, 768/214 i.e 1/10058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 709/94, 768/214.
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 709/94,768/214?
Given fractions are 709/94,768/214
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 709/94,768/214, numerators are 709,768
Denominators are 94,214
The GCF of 709,768 is 1 .
LCM of 94,214 is 10058.
The greatest common factor of 709/94,768/214 = [GCF of 709,768]/[LCM of 94,214]= 1/10058
Therefore, the GCF of 709/94,768/214 is 1/10058.
To find the highest common factor of 709,768, we have to find the factors of both numbers and list the highest common factor.
The factors of 709 are 1, 709
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 709,768 is 1.
Lets's calculate GCF of 709,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 709,768 By Matching Biggest Common Factor Method
Now, list down the factors of 709
:1,709
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 709,768 . The biggest common factor number is the GCF number.
So the greatest common factor 709,768 is 1.
Lets's calculate LCM of 94,214
| 2 | 94, 214 |
| 47, 107 |
∴ So the LCM of the given numbers is 2 x 47 x 107 = 10058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10058
Therefore, the GCF of Fractions 709/94,768/214 is 1/10058
Least Common Multiple of 94,214 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 94,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,214) x common factors =2 x 1 = 2
LCM(94,214) = ( 94 × 214 ) / 2
LCM(94,214) = 20116 / 2
LCM(94,214) = 10058
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FAQs on GCF of Fractions of 709/94, 768/214
1. What is the HCF of 709,768?
The HCF of 709,768 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 709/94, 768/214?
Answer: GCF of Numerators as per given numbers 709/94, 768/214 is
GCF of Numerators i.e. for 709,768 is 1
LCM of denominators i.e. for 94,214 is 10058.
Thus, GCF of Fractions is 1/10058.Finally, GCF of Fractions for 709/94, 768/214 is 1/10058.