GCF of 7890/977, 7754/5312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7890/977, 7754/5312 i.e 2/5189824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7890/977, 7754/5312.
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 7890/977,7754/5312?
Given fractions are 7890/977,7754/5312
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 7890/977,7754/5312, numerators are 7890,7754
Denominators are 977,5312
The GCF of 7890,7754 is 2 .
LCM of 977,5312 is 5189824.
The greatest common factor of 7890/977,7754/5312 = [GCF of 7890,7754]/[LCM of 977,5312]= 2/5189824
Therefore, the GCF of 7890/977,7754/5312 is 2/5189824.
To find the highest common factor of 7890,7754, we have to find the factors of both numbers and list the highest common factor.
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The factors of 7754 are 1, 2, 3877, 7754
The HCF of 7890,7754 is 2.
Lets's calculate GCF of 7890,7754
| 2 | 7890, 7754 |
| 3945, 3877 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7890,7754 By Matching Biggest Common Factor Method
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Now, list down the factors of 7754
:1,2,3877,7754
Greatest Common Factor
We found the factors 7890,7754 . The biggest common factor number is the GCF number.
So the greatest common factor 7890,7754 is 2.
Lets's calculate LCM of 977,5312
Given numbers has no common factors except 1. So, there LCM is their product i.e 5189824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5189824
Therefore, the GCF of Fractions 7890/977,7754/5312 is 2/5189824
Least Common Multiple of 977,5312 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 977,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,5312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,5312) x common factors =1 x 1 = 1
LCM(977,5312) = ( 977 × 5312 ) / 1
LCM(977,5312) = 5189824 / 1
LCM(977,5312) = 5189824
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FAQs on GCF of Fractions of 7890/977, 7754/5312
1. What is the HCF of 7890,7754?
The HCF of 7890,7754 is 2
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 7890/977, 7754/5312?
Answer: GCF of Numerators as per given numbers 7890/977, 7754/5312 is
GCF of Numerators i.e. for 7890,7754 is 2
LCM of denominators i.e. for 977,5312 is 5189824.
Thus, GCF of Fractions is 2/5189824.Finally, GCF of Fractions for 7890/977, 7754/5312 is 2/5189824.