GCF of 7938/530, 7953/7020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7938/530, 7953/7020 i.e 3/372060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7938/530, 7953/7020.
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 7938/530,7953/7020?
Given fractions are 7938/530,7953/7020
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 7938/530,7953/7020, numerators are 7938,7953
Denominators are 530,7020
The GCF of 7938,7953 is 3 .
LCM of 530,7020 is 372060.
The greatest common factor of 7938/530,7953/7020 = [GCF of 7938,7953]/[LCM of 530,7020]= 3/372060
Therefore, the GCF of 7938/530,7953/7020 is 3/372060.
To find the highest common factor of 7938,7953, we have to find the factors of both numbers and list the highest common factor.
The factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938
The factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953
The HCF of 7938,7953 is 3.
Lets's calculate GCF of 7938,7953
| 3 | 7938, 7953 |
| 2646, 2651 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7938,7953 By Matching Biggest Common Factor Method
Now, list down the factors of 7938
:1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938
Now, list down the factors of 7953
:1,3,11,33,241,723,2651,7953
Greatest Common Factor
We found the factors 7938,7953 . The biggest common factor number is the GCF number.
So the greatest common factor 7938,7953 is 3.
Lets's calculate LCM of 530,7020
| 2 | 530, 7020 |
| 5 | 265, 3510 |
| 53, 702 |
∴ So the LCM of the given numbers is 2 x 5 x 53 x 702 = 372060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/372060
Therefore, the GCF of Fractions 7938/530,7953/7020 is 3/372060
Least Common Multiple of 530,7020 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 530,7020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,7020) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(530,7020) x common factors =10 x 1 = 10
LCM(530,7020) = ( 530 × 7020 ) / 10
LCM(530,7020) = 3720600 / 10
LCM(530,7020) = 372060
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FAQs on GCF of Fractions of 7938/530, 7953/7020
1. What is the HCF of 7938,7953?
The HCF of 7938,7953 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 7938/530, 7953/7020?
Answer: GCF of Numerators as per given numbers 7938/530, 7953/7020 is
GCF of Numerators i.e. for 7938,7953 is 3
LCM of denominators i.e. for 530,7020 is 372060.
Thus, GCF of Fractions is 3/372060.Finally, GCF of Fractions for 7938/530, 7953/7020 is 3/372060.