GCF of 7095/762, 8690/1290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7095/762, 8690/1290 i.e 55/163830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7095/762, 8690/1290.
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 7095/762,8690/1290?
Given fractions are 7095/762,8690/1290
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 7095/762,8690/1290, numerators are 7095,8690
Denominators are 762,1290
The GCF of 7095,8690 is 55 .
LCM of 762,1290 is 163830.
The greatest common factor of 7095/762,8690/1290 = [GCF of 7095,8690]/[LCM of 762,1290]= 55/163830
Therefore, the GCF of 7095/762,8690/1290 is 55/163830.
To find the highest common factor of 7095,8690, we have to find the factors of both numbers and list the highest common factor.
The factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095
The factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690
The HCF of 7095,8690 is 55.
Lets's calculate GCF of 7095,8690
| 5 | 7095, 8690 |
| 11 | 1419, 1738 |
| 129, 158 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 7095,8690 By Matching Biggest Common Factor Method
Now, list down the factors of 7095
:1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095
Now, list down the factors of 8690
:1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690
Greatest Common Factor
We found the factors 7095,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,8690 is 55.
Lets's calculate LCM of 762,1290
| 2 | 762, 1290 |
| 3 | 381, 645 |
| 127, 215 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 215 = 163830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/163830
Therefore, the GCF of Fractions 7095/762,8690/1290 is 55/163830
Least Common Multiple of 762,1290 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 762,1290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,1290) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,1290) x common factors =6 x 1 = 6
LCM(762,1290) = ( 762 × 1290 ) / 6
LCM(762,1290) = 982980 / 6
LCM(762,1290) = 163830
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FAQs on GCF of Fractions of 7095/762, 8690/1290
1. What is the HCF of 7095,8690?
The HCF of 7095,8690 is 55
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 7095/762, 8690/1290?
Answer: GCF of Numerators as per given numbers 7095/762, 8690/1290 is
GCF of Numerators i.e. for 7095,8690 is 55
LCM of denominators i.e. for 762,1290 is 163830.
Thus, GCF of Fractions is 55/163830.Finally, GCF of Fractions for 7095/762, 8690/1290 is 55/163830.