GCF of 8152/795, 7030/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8152/795, 7030/785 i.e 2/124815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8152/795, 7030/785.
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 8152/795,7030/785?
Given fractions are 8152/795,7030/785
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 8152/795,7030/785, numerators are 8152,7030
Denominators are 795,785
The GCF of 8152,7030 is 2 .
LCM of 795,785 is 124815.
The greatest common factor of 8152/795,7030/785 = [GCF of 8152,7030]/[LCM of 795,785]= 2/124815
Therefore, the GCF of 8152/795,7030/785 is 2/124815.
To find the highest common factor of 8152,7030, we have to find the factors of both numbers and list the highest common factor.
The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The HCF of 8152,7030 is 2.
Lets's calculate GCF of 8152,7030
| 2 | 8152, 7030 |
| 4076, 3515 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8152,7030 By Matching Biggest Common Factor Method
Now, list down the factors of 8152
:1,2,4,8,1019,2038,4076,8152
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Greatest Common Factor
We found the factors 8152,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 8152,7030 is 2.
Lets's calculate LCM of 795,785
| 5 | 795, 785 |
| 159, 157 |
∴ So the LCM of the given numbers is 5 x 159 x 157 = 124815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124815
Therefore, the GCF of Fractions 8152/795,7030/785 is 2/124815
Least Common Multiple of 795,785 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 795,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,785) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(795,785) x common factors =5 x 1 = 5
LCM(795,785) = ( 795 × 785 ) / 5
LCM(795,785) = 624075 / 5
LCM(795,785) = 124815
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FAQs on GCF of Fractions of 8152/795, 7030/785
1. What is the HCF of 8152,7030?
The HCF of 8152,7030 is 2
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 8152/795, 7030/785?
Answer: GCF of Numerators as per given numbers 8152/795, 7030/785 is
GCF of Numerators i.e. for 8152,7030 is 2
LCM of denominators i.e. for 795,785 is 124815.
Thus, GCF of Fractions is 2/124815.Finally, GCF of Fractions for 8152/795, 7030/785 is 2/124815.