GCF of 7917/112, 9802/3307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7917/112, 9802/3307 i.e 377/370384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7917/112, 9802/3307.
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 7917/112,9802/3307?
Given fractions are 7917/112,9802/3307
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 7917/112,9802/3307, numerators are 7917,9802
Denominators are 112,3307
The GCF of 7917,9802 is 377 .
LCM of 112,3307 is 370384.
The greatest common factor of 7917/112,9802/3307 = [GCF of 7917,9802]/[LCM of 112,3307]= 377/370384
Therefore, the GCF of 7917/112,9802/3307 is 377/370384.
To find the highest common factor of 7917,9802, we have to find the factors of both numbers and list the highest common factor.
The factors of 7917 are 1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639, 7917
The factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802
The HCF of 7917,9802 is 377.
Lets's calculate GCF of 7917,9802
| 13 | 7917, 9802 |
| 29 | 609, 754 |
| 21, 26 |
∴ So the GCF of the given numbers is 13 x 29 = 377
Greatest Common Factor of 7917,9802 By Matching Biggest Common Factor Method
Now, list down the factors of 7917
:1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917
Now, list down the factors of 9802
:1,2,13,26,29,58,169,338,377,754,4901,9802
Greatest Common Factor
We found the factors 7917,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 7917,9802 is 377.
Lets's calculate LCM of 112,3307
Given numbers has no common factors except 1. So, there LCM is their product i.e 370384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 377/370384
Therefore, the GCF of Fractions 7917/112,9802/3307 is 377/370384
Least Common Multiple of 112,3307 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 112,3307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,3307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,3307) x common factors =1 x 1 = 1
LCM(112,3307) = ( 112 × 3307 ) / 1
LCM(112,3307) = 370384 / 1
LCM(112,3307) = 370384
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FAQs on GCF of Fractions of 7917/112, 9802/3307
1. What is the HCF of 7917,9802?
The HCF of 7917,9802 is 377
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 7917/112, 9802/3307?
Answer: GCF of Numerators as per given numbers 7917/112, 9802/3307 is
GCF of Numerators i.e. for 7917,9802 is 377
LCM of denominators i.e. for 112,3307 is 370384.
Thus, GCF of Fractions is 377/370384.Finally, GCF of Fractions for 7917/112, 9802/3307 is 377/370384.