GCF of 7076/430, 8676/1361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7076/430, 8676/1361 i.e 4/585230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7076/430, 8676/1361.
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 7076/430,8676/1361?
Given fractions are 7076/430,8676/1361
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 7076/430,8676/1361, numerators are 7076,8676
Denominators are 430,1361
The GCF of 7076,8676 is 4 .
LCM of 430,1361 is 585230.
The greatest common factor of 7076/430,8676/1361 = [GCF of 7076,8676]/[LCM of 430,1361]= 4/585230
Therefore, the GCF of 7076/430,8676/1361 is 4/585230.
To find the highest common factor of 7076,8676, we have to find the factors of both numbers and list the highest common factor.
The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076
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 7076,8676 is 4.
Lets's calculate GCF of 7076,8676
| 2 | 7076, 8676 |
| 2 | 3538, 4338 |
| 1769, 2169 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7076,8676 By Matching Biggest Common Factor Method
Now, list down the factors of 7076
:1,2,4,29,58,61,116,122,244,1769,3538,7076
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 7076,8676 . The biggest common factor number is the GCF number.
So the greatest common factor 7076,8676 is 4.
Lets's calculate LCM of 430,1361
Given numbers has no common factors except 1. So, there LCM is their product i.e 585230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/585230
Therefore, the GCF of Fractions 7076/430,8676/1361 is 4/585230
Least Common Multiple of 430,1361 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 430,1361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,1361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,1361) x common factors =1 x 1 = 1
LCM(430,1361) = ( 430 × 1361 ) / 1
LCM(430,1361) = 585230 / 1
LCM(430,1361) = 585230
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FAQs on GCF of Fractions of 7076/430, 8676/1361
1. What is the HCF of 7076,8676?
The HCF of 7076,8676 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 7076/430, 8676/1361?
Answer: GCF of Numerators as per given numbers 7076/430, 8676/1361 is
GCF of Numerators i.e. for 7076,8676 is 4
LCM of denominators i.e. for 430,1361 is 585230.
Thus, GCF of Fractions is 4/585230.Finally, GCF of Fractions for 7076/430, 8676/1361 is 4/585230.