GCF of 2535/922, 1222/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2535/922, 1222/416 i.e 13/191776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2535/922, 1222/416.
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 2535/922,1222/416?
Given fractions are 2535/922,1222/416
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 2535/922,1222/416, numerators are 2535,1222
Denominators are 922,416
The GCF of 2535,1222 is 13 .
LCM of 922,416 is 191776.
The greatest common factor of 2535/922,1222/416 = [GCF of 2535,1222]/[LCM of 922,416]= 13/191776
Therefore, the GCF of 2535/922,1222/416 is 13/191776.
To find the highest common factor of 2535,1222, we have to find the factors of both numbers and list the highest common factor.
The factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535
The factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222
The HCF of 2535,1222 is 13.
Lets's calculate GCF of 2535,1222
| 13 | 2535, 1222 |
| 195, 94 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2535,1222 By Matching Biggest Common Factor Method
Now, list down the factors of 2535
:1,3,5,13,15,39,65,169,195,507,845,2535
Now, list down the factors of 1222
:1,2,13,26,47,94,611,1222
Greatest Common Factor
We found the factors 2535,1222 . The biggest common factor number is the GCF number.
So the greatest common factor 2535,1222 is 13.
Lets's calculate LCM of 922,416
| 2 | 922, 416 |
| 461, 208 |
∴ So the LCM of the given numbers is 2 x 461 x 208 = 191776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/191776
Therefore, the GCF of Fractions 2535/922,1222/416 is 13/191776
Least Common Multiple of 922,416 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 922,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,416) x common factors =2 x 1 = 2
LCM(922,416) = ( 922 × 416 ) / 2
LCM(922,416) = 383552 / 2
LCM(922,416) = 191776
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FAQs on GCF of Fractions of 2535/922, 1222/416
1. What is the HCF of 2535,1222?
The HCF of 2535,1222 is 13
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 2535/922, 1222/416?
Answer: GCF of Numerators as per given numbers 2535/922, 1222/416 is
GCF of Numerators i.e. for 2535,1222 is 13
LCM of denominators i.e. for 922,416 is 191776.
Thus, GCF of Fractions is 13/191776.Finally, GCF of Fractions for 2535/922, 1222/416 is 13/191776.