GCF of 980/864, 5250/824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 980/864, 5250/824 i.e 70/88992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/864, 5250/824.
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 980/864,5250/824?
Given fractions are 980/864,5250/824
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 980/864,5250/824, numerators are 980,5250
Denominators are 864,824
The GCF of 980,5250 is 70 .
LCM of 864,824 is 88992.
The greatest common factor of 980/864,5250/824 = [GCF of 980,5250]/[LCM of 864,824]= 70/88992
Therefore, the GCF of 980/864,5250/824 is 70/88992.
To find the highest common factor of 980,5250, we have to find the factors of both numbers and list the highest common factor.
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The HCF of 980,5250 is 70.
Lets's calculate GCF of 980,5250
| 2 | 980, 5250 |
| 5 | 490, 2625 |
| 7 | 98, 525 |
| 14, 75 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 980,5250 By Matching Biggest Common Factor Method
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Now, list down the factors of 5250
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Greatest Common Factor
We found the factors 980,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 980,5250 is 70.
Lets's calculate LCM of 864,824
| 2 | 864, 824 |
| 2 | 432, 412 |
| 2 | 216, 206 |
| 108, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 108 x 103 = 88992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/88992
Therefore, the GCF of Fractions 980/864,5250/824 is 70/88992
Least Common Multiple of 864,824 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 864,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,824) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(864,824) x common factors =8 x 1 = 8
LCM(864,824) = ( 864 × 824 ) / 8
LCM(864,824) = 711936 / 8
LCM(864,824) = 88992
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FAQs on GCF of Fractions of 980/864, 5250/824
1. What is the HCF of 980,5250?
The HCF of 980,5250 is 70
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 980/864, 5250/824?
Answer: GCF of Numerators as per given numbers 980/864, 5250/824 is
GCF of Numerators i.e. for 980,5250 is 70
LCM of denominators i.e. for 864,824 is 88992.
Thus, GCF of Fractions is 70/88992.Finally, GCF of Fractions for 980/864, 5250/824 is 70/88992.