GCF of 7859/698, 4750/9714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7859/698, 4750/9714 i.e 1/3390186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7859/698, 4750/9714.
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 7859/698,4750/9714?
Given fractions are 7859/698,4750/9714
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 7859/698,4750/9714, numerators are 7859,4750
Denominators are 698,9714
The GCF of 7859,4750 is 1 .
LCM of 698,9714 is 3390186.
The greatest common factor of 7859/698,4750/9714 = [GCF of 7859,4750]/[LCM of 698,9714]= 1/3390186
Therefore, the GCF of 7859/698,4750/9714 is 1/3390186.
To find the highest common factor of 7859,4750, we have to find the factors of both numbers and list the highest common factor.
The factors of 7859 are 1, 29, 271, 7859
The factors of 4750 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750
The HCF of 7859,4750 is 1.
Lets's calculate GCF of 7859,4750
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7859,4750 By Matching Biggest Common Factor Method
Now, list down the factors of 7859
:1,29,271,7859
Now, list down the factors of 4750
:1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750
Greatest Common Factor
We found the factors 7859,4750 . The biggest common factor number is the GCF number.
So the greatest common factor 7859,4750 is 1.
Lets's calculate LCM of 698,9714
| 2 | 698, 9714 |
| 349, 4857 |
∴ So the LCM of the given numbers is 2 x 349 x 4857 = 3390186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3390186
Therefore, the GCF of Fractions 7859/698,4750/9714 is 1/3390186
Least Common Multiple of 698,9714 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 698,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,9714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,9714) x common factors =2 x 1 = 2
LCM(698,9714) = ( 698 × 9714 ) / 2
LCM(698,9714) = 6780372 / 2
LCM(698,9714) = 3390186
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FAQs on GCF of Fractions of 7859/698, 4750/9714
1. What is the HCF of 7859,4750?
The HCF of 7859,4750 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 7859/698, 4750/9714?
Answer: GCF of Numerators as per given numbers 7859/698, 4750/9714 is
GCF of Numerators i.e. for 7859,4750 is 1
LCM of denominators i.e. for 698,9714 is 3390186.
Thus, GCF of Fractions is 1/3390186.Finally, GCF of Fractions for 7859/698, 4750/9714 is 1/3390186.