GCF of 7006/429, 8892/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7006/429, 8892/412 i.e 2/176748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7006/429, 8892/412.
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 7006/429,8892/412?
Given fractions are 7006/429,8892/412
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 7006/429,8892/412, numerators are 7006,8892
Denominators are 429,412
The GCF of 7006,8892 is 2 .
LCM of 429,412 is 176748.
The greatest common factor of 7006/429,8892/412 = [GCF of 7006,8892]/[LCM of 429,412]= 2/176748
Therefore, the GCF of 7006/429,8892/412 is 2/176748.
To find the highest common factor of 7006,8892, we have to find the factors of both numbers and list the highest common factor.
The factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006
The factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892
The HCF of 7006,8892 is 2.
Lets's calculate GCF of 7006,8892
| 2 | 7006, 8892 |
| 3503, 4446 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7006,8892 By Matching Biggest Common Factor Method
Now, list down the factors of 7006
:1,2,31,62,113,226,3503,7006
Now, list down the factors of 8892
:1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892
Greatest Common Factor
We found the factors 7006,8892 . The biggest common factor number is the GCF number.
So the greatest common factor 7006,8892 is 2.
Lets's calculate LCM of 429,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 176748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176748
Therefore, the GCF of Fractions 7006/429,8892/412 is 2/176748
Least Common Multiple of 429,412 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 429,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,412) x common factors =1 x 1 = 1
LCM(429,412) = ( 429 × 412 ) / 1
LCM(429,412) = 176748 / 1
LCM(429,412) = 176748
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FAQs on GCF of Fractions of 7006/429, 8892/412
1. What is the HCF of 7006,8892?
The HCF of 7006,8892 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 7006/429, 8892/412?
Answer: GCF of Numerators as per given numbers 7006/429, 8892/412 is
GCF of Numerators i.e. for 7006,8892 is 2
LCM of denominators i.e. for 429,412 is 176748.
Thus, GCF of Fractions is 2/176748.Finally, GCF of Fractions for 7006/429, 8892/412 is 2/176748.