GCF of 7495/703, 8610/1940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7495/703, 8610/1940 i.e 5/1363820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7495/703, 8610/1940.
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 7495/703,8610/1940?
Given fractions are 7495/703,8610/1940
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 7495/703,8610/1940, numerators are 7495,8610
Denominators are 703,1940
The GCF of 7495,8610 is 5 .
LCM of 703,1940 is 1363820.
The greatest common factor of 7495/703,8610/1940 = [GCF of 7495,8610]/[LCM of 703,1940]= 5/1363820
Therefore, the GCF of 7495/703,8610/1940 is 5/1363820.
To find the highest common factor of 7495,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 7495 are 1, 5, 1499, 7495
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 7495,8610 is 5.
Lets's calculate GCF of 7495,8610
| 5 | 7495, 8610 |
| 1499, 1722 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7495,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 7495
:1,5,1499,7495
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 7495,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 7495,8610 is 5.
Lets's calculate LCM of 703,1940
Given numbers has no common factors except 1. So, there LCM is their product i.e 1363820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1363820
Therefore, the GCF of Fractions 7495/703,8610/1940 is 5/1363820
Least Common Multiple of 703,1940 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 703,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,1940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,1940) x common factors =1 x 1 = 1
LCM(703,1940) = ( 703 × 1940 ) / 1
LCM(703,1940) = 1363820 / 1
LCM(703,1940) = 1363820
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FAQs on GCF of Fractions of 7495/703, 8610/1940
1. What is the HCF of 7495,8610?
The HCF of 7495,8610 is 5
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 7495/703, 8610/1940?
Answer: GCF of Numerators as per given numbers 7495/703, 8610/1940 is
GCF of Numerators i.e. for 7495,8610 is 5
LCM of denominators i.e. for 703,1940 is 1363820.
Thus, GCF of Fractions is 5/1363820.Finally, GCF of Fractions for 7495/703, 8610/1940 is 5/1363820.