GCF of 8676/840, 2176/5285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8676/840, 2176/5285 i.e 4/126840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8676/840, 2176/5285.
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 8676/840,2176/5285?
Given fractions are 8676/840,2176/5285
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 8676/840,2176/5285, numerators are 8676,2176
Denominators are 840,5285
The GCF of 8676,2176 is 4 .
LCM of 840,5285 is 126840.
The greatest common factor of 8676/840,2176/5285 = [GCF of 8676,2176]/[LCM of 840,5285]= 4/126840
Therefore, the GCF of 8676/840,2176/5285 is 4/126840.
To find the highest common factor of 8676,2176, we have to find the factors of both numbers and list the highest common factor.
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The HCF of 8676,2176 is 4.
Lets's calculate GCF of 8676,2176
| 2 | 8676, 2176 |
| 2 | 4338, 1088 |
| 2169, 544 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8676,2176 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 8676,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 8676,2176 is 4.
Lets's calculate LCM of 840,5285
| 5 | 840, 5285 |
| 7 | 168, 1057 |
| 24, 151 |
∴ So the LCM of the given numbers is 5 x 7 x 24 x 151 = 126840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/126840
Therefore, the GCF of Fractions 8676/840,2176/5285 is 4/126840
Least Common Multiple of 840,5285 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 840,5285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,5285) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(840,5285) x common factors =35 x 1 = 35
LCM(840,5285) = ( 840 × 5285 ) / 35
LCM(840,5285) = 4439400 / 35
LCM(840,5285) = 126840
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FAQs on GCF of Fractions of 8676/840, 2176/5285
1. What is the HCF of 8676,2176?
The HCF of 8676,2176 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 8676/840, 2176/5285?
Answer: GCF of Numerators as per given numbers 8676/840, 2176/5285 is
GCF of Numerators i.e. for 8676,2176 is 4
LCM of denominators i.e. for 840,5285 is 126840.
Thus, GCF of Fractions is 4/126840.Finally, GCF of Fractions for 8676/840, 2176/5285 is 4/126840.