GCF of 176/637, 7850/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 176/637, 7850/680 i.e 2/433160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/637, 7850/680.
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 176/637,7850/680?
Given fractions are 176/637,7850/680
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 176/637,7850/680, numerators are 176,7850
Denominators are 637,680
The GCF of 176,7850 is 2 .
LCM of 637,680 is 433160.
The greatest common factor of 176/637,7850/680 = [GCF of 176,7850]/[LCM of 637,680]= 2/433160
Therefore, the GCF of 176/637,7850/680 is 2/433160.
To find the highest common factor of 176,7850, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850
The HCF of 176,7850 is 2.
Lets's calculate GCF of 176,7850
| 2 | 176, 7850 |
| 88, 3925 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 176,7850 By Matching Biggest Common Factor Method
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 7850
:1,2,5,10,25,50,157,314,785,1570,3925,7850
Greatest Common Factor
We found the factors 176,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 176,7850 is 2.
Lets's calculate LCM of 637,680
Given numbers has no common factors except 1. So, there LCM is their product i.e 433160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/433160
Therefore, the GCF of Fractions 176/637,7850/680 is 2/433160
Least Common Multiple of 637,680 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 637,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,680) x common factors =1 x 1 = 1
LCM(637,680) = ( 637 × 680 ) / 1
LCM(637,680) = 433160 / 1
LCM(637,680) = 433160
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FAQs on GCF of Fractions of 176/637, 7850/680
1. What is the HCF of 176,7850?
The HCF of 176,7850 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 176/637, 7850/680?
Answer: GCF of Numerators as per given numbers 176/637, 7850/680 is
GCF of Numerators i.e. for 176,7850 is 2
LCM of denominators i.e. for 637,680 is 433160.
Thus, GCF of Fractions is 2/433160.Finally, GCF of Fractions for 176/637, 7850/680 is 2/433160.