GCF of 5637/358, 8680/1706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5637/358, 8680/1706 i.e 1/305374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5637/358, 8680/1706.
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 5637/358,8680/1706?
Given fractions are 5637/358,8680/1706
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 5637/358,8680/1706, numerators are 5637,8680
Denominators are 358,1706
The GCF of 5637,8680 is 1 .
LCM of 358,1706 is 305374.
The greatest common factor of 5637/358,8680/1706 = [GCF of 5637,8680]/[LCM of 358,1706]= 1/305374
Therefore, the GCF of 5637/358,8680/1706 is 1/305374.
To find the highest common factor of 5637,8680, we have to find the factors of both numbers and list the highest common factor.
The factors of 5637 are 1, 3, 1879, 5637
The factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680
The HCF of 5637,8680 is 1.
Lets's calculate GCF of 5637,8680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5637,8680 By Matching Biggest Common Factor Method
Now, list down the factors of 5637
:1,3,1879,5637
Now, list down the factors of 8680
:1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680
Greatest Common Factor
We found the factors 5637,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 5637,8680 is 1.
Lets's calculate LCM of 358,1706
| 2 | 358, 1706 |
| 179, 853 |
∴ So the LCM of the given numbers is 2 x 179 x 853 = 305374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305374
Therefore, the GCF of Fractions 5637/358,8680/1706 is 1/305374
Least Common Multiple of 358,1706 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 358,1706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,1706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,1706) x common factors =2 x 1 = 2
LCM(358,1706) = ( 358 × 1706 ) / 2
LCM(358,1706) = 610748 / 2
LCM(358,1706) = 305374
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FAQs on GCF of Fractions of 5637/358, 8680/1706
1. What is the HCF of 5637,8680?
The HCF of 5637,8680 is 1
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 5637/358, 8680/1706?
Answer: GCF of Numerators as per given numbers 5637/358, 8680/1706 is
GCF of Numerators i.e. for 5637,8680 is 1
LCM of denominators i.e. for 358,1706 is 305374.
Thus, GCF of Fractions is 1/305374.Finally, GCF of Fractions for 5637/358, 8680/1706 is 1/305374.