GCF of 7780/987, 4169/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7780/987, 4169/434 i.e 1/61194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7780/987, 4169/434.
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 7780/987,4169/434?
Given fractions are 7780/987,4169/434
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 7780/987,4169/434, numerators are 7780,4169
Denominators are 987,434
The GCF of 7780,4169 is 1 .
LCM of 987,434 is 61194.
The greatest common factor of 7780/987,4169/434 = [GCF of 7780,4169]/[LCM of 987,434]= 1/61194
Therefore, the GCF of 7780/987,4169/434 is 1/61194.
To find the highest common factor of 7780,4169, we have to find the factors of both numbers and list the highest common factor.
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The factors of 4169 are 1, 11, 379, 4169
The HCF of 7780,4169 is 1.
Lets's calculate GCF of 7780,4169
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7780,4169 By Matching Biggest Common Factor Method
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Now, list down the factors of 4169
:1,11,379,4169
Greatest Common Factor
We found the factors 7780,4169 . The biggest common factor number is the GCF number.
So the greatest common factor 7780,4169 is 1.
Lets's calculate LCM of 987,434
| 7 | 987, 434 |
| 141, 62 |
∴ So the LCM of the given numbers is 7 x 141 x 62 = 61194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61194
Therefore, the GCF of Fractions 7780/987,4169/434 is 1/61194
Least Common Multiple of 987,434 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 987,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,434) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(987,434) x common factors =7 x 1 = 7
LCM(987,434) = ( 987 × 434 ) / 7
LCM(987,434) = 428358 / 7
LCM(987,434) = 61194
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FAQs on GCF of Fractions of 7780/987, 4169/434
1. What is the HCF of 7780,4169?
The HCF of 7780,4169 is 1
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 7780/987, 4169/434?
Answer: GCF of Numerators as per given numbers 7780/987, 4169/434 is
GCF of Numerators i.e. for 7780,4169 is 1
LCM of denominators i.e. for 987,434 is 61194.
Thus, GCF of Fractions is 1/61194.Finally, GCF of Fractions for 7780/987, 4169/434 is 1/61194.