GCF of 7072/490, 8920/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7072/490, 8920/865 i.e 8/84770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7072/490, 8920/865.
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 7072/490,8920/865?
Given fractions are 7072/490,8920/865
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 7072/490,8920/865, numerators are 7072,8920
Denominators are 490,865
The GCF of 7072,8920 is 8 .
LCM of 490,865 is 84770.
The greatest common factor of 7072/490,8920/865 = [GCF of 7072,8920]/[LCM of 490,865]= 8/84770
Therefore, the GCF of 7072/490,8920/865 is 8/84770.
To find the highest common factor of 7072,8920, we have to find the factors of both numbers and list the highest common factor.
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920
The HCF of 7072,8920 is 8.
Lets's calculate GCF of 7072,8920
| 2 | 7072, 8920 |
| 2 | 3536, 4460 |
| 2 | 1768, 2230 |
| 884, 1115 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7072,8920 By Matching Biggest Common Factor Method
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Now, list down the factors of 8920
:1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920
Greatest Common Factor
We found the factors 7072,8920 . The biggest common factor number is the GCF number.
So the greatest common factor 7072,8920 is 8.
Lets's calculate LCM of 490,865
| 5 | 490, 865 |
| 98, 173 |
∴ So the LCM of the given numbers is 5 x 98 x 173 = 84770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/84770
Therefore, the GCF of Fractions 7072/490,8920/865 is 8/84770
Least Common Multiple of 490,865 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 490,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(490,865) x common factors =5 x 1 = 5
LCM(490,865) = ( 490 × 865 ) / 5
LCM(490,865) = 423850 / 5
LCM(490,865) = 84770
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FAQs on GCF of Fractions of 7072/490, 8920/865
1. What is the HCF of 7072,8920?
The HCF of 7072,8920 is 8
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 7072/490, 8920/865?
Answer: GCF of Numerators as per given numbers 7072/490, 8920/865 is
GCF of Numerators i.e. for 7072,8920 is 8
LCM of denominators i.e. for 490,865 is 84770.
Thus, GCF of Fractions is 8/84770.Finally, GCF of Fractions for 7072/490, 8920/865 is 8/84770.