GCF of 4370/692, 9775/5519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4370/692, 9775/5519 i.e 115/3819148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4370/692, 9775/5519.
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 4370/692,9775/5519?
Given fractions are 4370/692,9775/5519
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 4370/692,9775/5519, numerators are 4370,9775
Denominators are 692,5519
The GCF of 4370,9775 is 115 .
LCM of 692,5519 is 3819148.
The greatest common factor of 4370/692,9775/5519 = [GCF of 4370,9775]/[LCM of 692,5519]= 115/3819148
Therefore, the GCF of 4370/692,9775/5519 is 115/3819148.
To find the highest common factor of 4370,9775, we have to find the factors of both numbers and list the highest common factor.
The factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The HCF of 4370,9775 is 115.
Lets's calculate GCF of 4370,9775
| 5 | 4370, 9775 |
| 23 | 874, 1955 |
| 38, 85 |
∴ So the GCF of the given numbers is 5 x 23 = 115
Greatest Common Factor of 4370,9775 By Matching Biggest Common Factor Method
Now, list down the factors of 4370
:1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 4370,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 4370,9775 is 115.
Lets's calculate LCM of 692,5519
Given numbers has no common factors except 1. So, there LCM is their product i.e 3819148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 115/3819148
Therefore, the GCF of Fractions 4370/692,9775/5519 is 115/3819148
Least Common Multiple of 692,5519 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 692,5519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,5519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,5519) x common factors =1 x 1 = 1
LCM(692,5519) = ( 692 × 5519 ) / 1
LCM(692,5519) = 3819148 / 1
LCM(692,5519) = 3819148
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FAQs on GCF of Fractions of 4370/692, 9775/5519
1. What is the HCF of 4370,9775?
The HCF of 4370,9775 is 115
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 4370/692, 9775/5519?
Answer: GCF of Numerators as per given numbers 4370/692, 9775/5519 is
GCF of Numerators i.e. for 4370,9775 is 115
LCM of denominators i.e. for 692,5519 is 3819148.
Thus, GCF of Fractions is 115/3819148.Finally, GCF of Fractions for 4370/692, 9775/5519 is 115/3819148.