GCF of 1862/224, 8260/4936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1862/224, 8260/4936 i.e 14/138208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1862/224, 8260/4936.
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 1862/224,8260/4936?
Given fractions are 1862/224,8260/4936
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 1862/224,8260/4936, numerators are 1862,8260
Denominators are 224,4936
The GCF of 1862,8260 is 14 .
LCM of 224,4936 is 138208.
The greatest common factor of 1862/224,8260/4936 = [GCF of 1862,8260]/[LCM of 224,4936]= 14/138208
Therefore, the GCF of 1862/224,8260/4936 is 14/138208.
To find the highest common factor of 1862,8260, we have to find the factors of both numbers and list the highest common factor.
The factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862
The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260
The HCF of 1862,8260 is 14.
Lets's calculate GCF of 1862,8260
| 2 | 1862, 8260 |
| 7 | 931, 4130 |
| 133, 590 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1862,8260 By Matching Biggest Common Factor Method
Now, list down the factors of 1862
:1,2,7,14,19,38,49,98,133,266,931,1862
Now, list down the factors of 8260
:1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Greatest Common Factor
We found the factors 1862,8260 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,8260 is 14.
Lets's calculate LCM of 224,4936
| 2 | 224, 4936 |
| 2 | 112, 2468 |
| 2 | 56, 1234 |
| 28, 617 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 28 x 617 = 138208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/138208
Therefore, the GCF of Fractions 1862/224,8260/4936 is 14/138208
Least Common Multiple of 224,4936 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 224,4936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,4936) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(224,4936) x common factors =8 x 1 = 8
LCM(224,4936) = ( 224 × 4936 ) / 8
LCM(224,4936) = 1105664 / 8
LCM(224,4936) = 138208
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FAQs on GCF of Fractions of 1862/224, 8260/4936
1. What is the HCF of 1862,8260?
The HCF of 1862,8260 is 14
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 1862/224, 8260/4936?
Answer: GCF of Numerators as per given numbers 1862/224, 8260/4936 is
GCF of Numerators i.e. for 1862,8260 is 14
LCM of denominators i.e. for 224,4936 is 138208.
Thus, GCF of Fractions is 14/138208.Finally, GCF of Fractions for 1862/224, 8260/4936 is 14/138208.