GCF of 6629/402, 9785/6972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6629/402, 9785/6972 i.e 1/467124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6629/402, 9785/6972.
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 6629/402,9785/6972?
Given fractions are 6629/402,9785/6972
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 6629/402,9785/6972, numerators are 6629,9785
Denominators are 402,6972
The GCF of 6629,9785 is 1 .
LCM of 402,6972 is 467124.
The greatest common factor of 6629/402,9785/6972 = [GCF of 6629,9785]/[LCM of 402,6972]= 1/467124
Therefore, the GCF of 6629/402,9785/6972 is 1/467124.
To find the highest common factor of 6629,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 6629 are 1, 7, 947, 6629
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 6629,9785 is 1.
Lets's calculate GCF of 6629,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6629,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 6629
:1,7,947,6629
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 6629,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 6629,9785 is 1.
Lets's calculate LCM of 402,6972
| 2 | 402, 6972 |
| 3 | 201, 3486 |
| 67, 1162 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 1162 = 467124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467124
Therefore, the GCF of Fractions 6629/402,9785/6972 is 1/467124
Least Common Multiple of 402,6972 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 402,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,6972) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,6972) x common factors =6 x 1 = 6
LCM(402,6972) = ( 402 × 6972 ) / 6
LCM(402,6972) = 2802744 / 6
LCM(402,6972) = 467124
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FAQs on GCF of Fractions of 6629/402, 9785/6972
1. What is the HCF of 6629,9785?
The HCF of 6629,9785 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 6629/402, 9785/6972?
Answer: GCF of Numerators as per given numbers 6629/402, 9785/6972 is
GCF of Numerators i.e. for 6629,9785 is 1
LCM of denominators i.e. for 402,6972 is 467124.
Thus, GCF of Fractions is 1/467124.Finally, GCF of Fractions for 6629/402, 9785/6972 is 1/467124.