GCF of 674/68, 779/94, 313/84
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/68, 779/94, 313/84 i.e 1/67116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/68, 779/94, 313/84.
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 674/68,779/94,313/84?
Given fractions are 674/68,779/94,313/84
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 674/68,779/94,313/84, numerators are 674,779,313
Denominators are 68,94,84
The GCF of 674,779,313 is 1 .
LCM of 68,94,84 is 67116.
The greatest common factor of 674/68,779/94,313/84 = [GCF of 674,779,313]/[LCM of 68,94,84]= 1/67116
Therefore, the GCF of 674/68,779/94,313/84 is 1/67116.
To find the highest common factor of 674,779,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 779 are 1, 19, 41, 779
The factors of 313 are 1, 313
The HCF of 674,779,313 is 1.
Lets's calculate GCF of 674,779,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 674,779,313 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 674,779,313 . The biggest common factor number is the GCF number.
So the greatest common factor 674,779,313 is 1.
Lets's calculate LCM of 68,94,84
| 2 | 68, 94, 84 |
| 2 | 34, 47, 42 |
| 17, 47, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 47 x 21 = 67116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67116
Therefore, the GCF of Fractions 674/68,779/94,313/84 is 1/67116
Least Common Multiple of 68,94,84 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 68,94,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,94,84) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(68,94,84) x common factors =2 x 4 = 8
LCM(68,94,84) = ( 68 × 94 × 84 ) / 8
LCM(68,94,84) = 536928 / 8
LCM(68,94,84) = 67116
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FAQs on GCF of Fractions of 674/68, 779/94, 313/84
1. What is the HCF of 674,779,313?
The HCF of 674,779,313 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 674/68, 779/94, 313/84?
Answer: GCF of Numerators as per given numbers 674/68, 779/94, 313/84 is
GCF of Numerators i.e. for 674,779,313 is 1
LCM of denominators i.e. for 68,94,84 is 67116.
Thus, GCF of Fractions is 1/67116.Finally, GCF of Fractions for 674/68, 779/94, 313/84 is 1/67116.