GCF of 5217/670, 6068/7079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5217/670, 6068/7079 i.e 37/4742930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5217/670, 6068/7079.
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 5217/670,6068/7079?
Given fractions are 5217/670,6068/7079
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 5217/670,6068/7079, numerators are 5217,6068
Denominators are 670,7079
The GCF of 5217,6068 is 37 .
LCM of 670,7079 is 4742930.
The greatest common factor of 5217/670,6068/7079 = [GCF of 5217,6068]/[LCM of 670,7079]= 37/4742930
Therefore, the GCF of 5217/670,6068/7079 is 37/4742930.
To find the highest common factor of 5217,6068, we have to find the factors of both numbers and list the highest common factor.
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
The factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068
The HCF of 5217,6068 is 37.
Lets's calculate GCF of 5217,6068
| 37 | 5217, 6068 |
| 141, 164 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 5217,6068 By Matching Biggest Common Factor Method
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
Now, list down the factors of 6068
:1,2,4,37,41,74,82,148,164,1517,3034,6068
Greatest Common Factor
We found the factors 5217,6068 . The biggest common factor number is the GCF number.
So the greatest common factor 5217,6068 is 37.
Lets's calculate LCM of 670,7079
Given numbers has no common factors except 1. So, there LCM is their product i.e 4742930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/4742930
Therefore, the GCF of Fractions 5217/670,6068/7079 is 37/4742930
Least Common Multiple of 670,7079 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 670,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,7079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,7079) x common factors =1 x 1 = 1
LCM(670,7079) = ( 670 × 7079 ) / 1
LCM(670,7079) = 4742930 / 1
LCM(670,7079) = 4742930
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FAQs on GCF of Fractions of 5217/670, 6068/7079
1. What is the HCF of 5217,6068?
The HCF of 5217,6068 is 37
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 5217/670, 6068/7079?
Answer: GCF of Numerators as per given numbers 5217/670, 6068/7079 is
GCF of Numerators i.e. for 5217,6068 is 37
LCM of denominators i.e. for 670,7079 is 4742930.
Thus, GCF of Fractions is 37/4742930.Finally, GCF of Fractions for 5217/670, 6068/7079 is 37/4742930.