GCF of 2152/692, 7624/3095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2152/692, 7624/3095 i.e 8/2141740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2152/692, 7624/3095.
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 2152/692,7624/3095?
Given fractions are 2152/692,7624/3095
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 2152/692,7624/3095, numerators are 2152,7624
Denominators are 692,3095
The GCF of 2152,7624 is 8 .
LCM of 692,3095 is 2141740.
The greatest common factor of 2152/692,7624/3095 = [GCF of 2152,7624]/[LCM of 692,3095]= 8/2141740
Therefore, the GCF of 2152/692,7624/3095 is 8/2141740.
To find the highest common factor of 2152,7624, we have to find the factors of both numbers and list the highest common factor.
The factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152
The factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624
The HCF of 2152,7624 is 8.
Lets's calculate GCF of 2152,7624
| 2 | 2152, 7624 |
| 2 | 1076, 3812 |
| 2 | 538, 1906 |
| 269, 953 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2152,7624 By Matching Biggest Common Factor Method
Now, list down the factors of 2152
:1,2,4,8,269,538,1076,2152
Now, list down the factors of 7624
:1,2,4,8,953,1906,3812,7624
Greatest Common Factor
We found the factors 2152,7624 . The biggest common factor number is the GCF number.
So the greatest common factor 2152,7624 is 8.
Lets's calculate LCM of 692,3095
Given numbers has no common factors except 1. So, there LCM is their product i.e 2141740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2141740
Therefore, the GCF of Fractions 2152/692,7624/3095 is 8/2141740
Least Common Multiple of 692,3095 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 692,3095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,3095) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,3095) x common factors =1 x 1 = 1
LCM(692,3095) = ( 692 × 3095 ) / 1
LCM(692,3095) = 2141740 / 1
LCM(692,3095) = 2141740
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FAQs on GCF of Fractions of 2152/692, 7624/3095
1. What is the HCF of 2152,7624?
The HCF of 2152,7624 is 8
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 2152/692, 7624/3095?
Answer: GCF of Numerators as per given numbers 2152/692, 7624/3095 is
GCF of Numerators i.e. for 2152,7624 is 8
LCM of denominators i.e. for 692,3095 is 2141740.
Thus, GCF of Fractions is 8/2141740.Finally, GCF of Fractions for 2152/692, 7624/3095 is 8/2141740.