GCF of 8357/867, 4380/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8357/867, 4380/4206 i.e 1/1215534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8357/867, 4380/4206.
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 8357/867,4380/4206?
Given fractions are 8357/867,4380/4206
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 8357/867,4380/4206, numerators are 8357,4380
Denominators are 867,4206
The GCF of 8357,4380 is 1 .
LCM of 867,4206 is 1215534.
The greatest common factor of 8357/867,4380/4206 = [GCF of 8357,4380]/[LCM of 867,4206]= 1/1215534
Therefore, the GCF of 8357/867,4380/4206 is 1/1215534.
To find the highest common factor of 8357,4380, we have to find the factors of both numbers and list the highest common factor.
The factors of 8357 are 1, 61, 137, 8357
The factors of 4380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380
The HCF of 8357,4380 is 1.
Lets's calculate GCF of 8357,4380
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8357,4380 By Matching Biggest Common Factor Method
Now, list down the factors of 8357
:1,61,137,8357
Now, list down the factors of 4380
:1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380
Greatest Common Factor
We found the factors 8357,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 8357,4380 is 1.
Lets's calculate LCM of 867,4206
| 3 | 867, 4206 |
| 289, 1402 |
∴ So the LCM of the given numbers is 3 x 289 x 1402 = 1215534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215534
Therefore, the GCF of Fractions 8357/867,4380/4206 is 1/1215534
Least Common Multiple of 867,4206 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 867,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,4206) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,4206) x common factors =3 x 1 = 3
LCM(867,4206) = ( 867 × 4206 ) / 3
LCM(867,4206) = 3646602 / 3
LCM(867,4206) = 1215534
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FAQs on GCF of Fractions of 8357/867, 4380/4206
1. What is the HCF of 8357,4380?
The HCF of 8357,4380 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 8357/867, 4380/4206?
Answer: GCF of Numerators as per given numbers 8357/867, 4380/4206 is
GCF of Numerators i.e. for 8357,4380 is 1
LCM of denominators i.e. for 867,4206 is 1215534.
Thus, GCF of Fractions is 1/1215534.Finally, GCF of Fractions for 8357/867, 4380/4206 is 1/1215534.