GCF of 8750/784, 7660/6200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8750/784, 7660/6200 i.e 10/607600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8750/784, 7660/6200.
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 8750/784,7660/6200?
Given fractions are 8750/784,7660/6200
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 8750/784,7660/6200, numerators are 8750,7660
Denominators are 784,6200
The GCF of 8750,7660 is 10 .
LCM of 784,6200 is 607600.
The greatest common factor of 8750/784,7660/6200 = [GCF of 8750,7660]/[LCM of 784,6200]= 10/607600
Therefore, the GCF of 8750/784,7660/6200 is 10/607600.
To find the highest common factor of 8750,7660, we have to find the factors of both numbers and list the highest common factor.
The factors of 8750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750
The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660
The HCF of 8750,7660 is 10.
Lets's calculate GCF of 8750,7660
| 2 | 8750, 7660 |
| 5 | 4375, 3830 |
| 875, 766 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8750,7660 By Matching Biggest Common Factor Method
Now, list down the factors of 8750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750
Now, list down the factors of 7660
:1,2,4,5,10,20,383,766,1532,1915,3830,7660
Greatest Common Factor
We found the factors 8750,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 8750,7660 is 10.
Lets's calculate LCM of 784,6200
| 2 | 784, 6200 |
| 2 | 392, 3100 |
| 2 | 196, 1550 |
| 98, 775 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 98 x 775 = 607600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/607600
Therefore, the GCF of Fractions 8750/784,7660/6200 is 10/607600
Least Common Multiple of 784,6200 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 784,6200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,6200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(784,6200) x common factors =8 x 1 = 8
LCM(784,6200) = ( 784 × 6200 ) / 8
LCM(784,6200) = 4860800 / 8
LCM(784,6200) = 607600
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FAQs on GCF of Fractions of 8750/784, 7660/6200
1. What is the HCF of 8750,7660?
The HCF of 8750,7660 is 10
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 8750/784, 7660/6200?
Answer: GCF of Numerators as per given numbers 8750/784, 7660/6200 is
GCF of Numerators i.e. for 8750,7660 is 10
LCM of denominators i.e. for 784,6200 is 607600.
Thus, GCF of Fractions is 10/607600.Finally, GCF of Fractions for 8750/784, 7660/6200 is 10/607600.