GCF of 7960/802, 8676/1605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7960/802, 8676/1605 i.e 4/1287210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7960/802, 8676/1605.
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 7960/802,8676/1605?
Given fractions are 7960/802,8676/1605
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 7960/802,8676/1605, numerators are 7960,8676
Denominators are 802,1605
The GCF of 7960,8676 is 4 .
LCM of 802,1605 is 1287210.
The greatest common factor of 7960/802,8676/1605 = [GCF of 7960,8676]/[LCM of 802,1605]= 4/1287210
Therefore, the GCF of 7960/802,8676/1605 is 4/1287210.
To find the highest common factor of 7960,8676, we have to find the factors of both numbers and list the highest common factor.
The factors of 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The HCF of 7960,8676 is 4.
Lets's calculate GCF of 7960,8676
| 2 | 7960, 8676 |
| 2 | 3980, 4338 |
| 1990, 2169 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7960,8676 By Matching Biggest Common Factor Method
Now, list down the factors of 7960
:1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960
Now, list down the factors of 8676
:1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676
Greatest Common Factor
We found the factors 7960,8676 . The biggest common factor number is the GCF number.
So the greatest common factor 7960,8676 is 4.
Lets's calculate LCM of 802,1605
Given numbers has no common factors except 1. So, there LCM is their product i.e 1287210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1287210
Therefore, the GCF of Fractions 7960/802,8676/1605 is 4/1287210
Least Common Multiple of 802,1605 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 802,1605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,1605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,1605) x common factors =1 x 1 = 1
LCM(802,1605) = ( 802 × 1605 ) / 1
LCM(802,1605) = 1287210 / 1
LCM(802,1605) = 1287210
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FAQs on GCF of Fractions of 7960/802, 8676/1605
1. What is the HCF of 7960,8676?
The HCF of 7960,8676 is 4
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 7960/802, 8676/1605?
Answer: GCF of Numerators as per given numbers 7960/802, 8676/1605 is
GCF of Numerators i.e. for 7960,8676 is 4
LCM of denominators i.e. for 802,1605 is 1287210.
Thus, GCF of Fractions is 4/1287210.Finally, GCF of Fractions for 7960/802, 8676/1605 is 4/1287210.