GCF of 7029/652, 6294/9780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7029/652, 6294/9780 i.e 3/9780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7029/652, 6294/9780.
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 7029/652,6294/9780?
Given fractions are 7029/652,6294/9780
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 7029/652,6294/9780, numerators are 7029,6294
Denominators are 652,9780
The GCF of 7029,6294 is 3 .
LCM of 652,9780 is 9780.
The greatest common factor of 7029/652,6294/9780 = [GCF of 7029,6294]/[LCM of 652,9780]= 3/9780
Therefore, the GCF of 7029/652,6294/9780 is 3/9780.
To find the highest common factor of 7029,6294, we have to find the factors of both numbers and list the highest common factor.
The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294
The HCF of 7029,6294 is 3.
Lets's calculate GCF of 7029,6294
| 3 | 7029, 6294 |
| 2343, 2098 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7029,6294 By Matching Biggest Common Factor Method
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Now, list down the factors of 6294
:1,2,3,6,1049,2098,3147,6294
Greatest Common Factor
We found the factors 7029,6294 . The biggest common factor number is the GCF number.
So the greatest common factor 7029,6294 is 3.
Lets's calculate LCM of 652,9780
| 2 | 652, 9780 |
| 2 | 326, 4890 |
| 163 | 163, 2445 |
| 1, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 1 x 15 = 9780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9780
Therefore, the GCF of Fractions 7029/652,6294/9780 is 3/9780
Least Common Multiple of 652,9780 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 652,9780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,9780) = 652
common factors(in case of two or more numbers have common factors) = 1
GCF(652,9780) x common factors =652 x 1 = 652
LCM(652,9780) = ( 652 × 9780 ) / 652
LCM(652,9780) = 6376560 / 652
LCM(652,9780) = 9780
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FAQs on GCF of Fractions of 7029/652, 6294/9780
1. What is the HCF of 7029,6294?
The HCF of 7029,6294 is 3
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 7029/652, 6294/9780?
Answer: GCF of Numerators as per given numbers 7029/652, 6294/9780 is
GCF of Numerators i.e. for 7029,6294 is 3
LCM of denominators i.e. for 652,9780 is 9780.
Thus, GCF of Fractions is 3/9780.Finally, GCF of Fractions for 7029/652, 6294/9780 is 3/9780.