GCF of 7730/704, 3835/8596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7730/704, 3835/8596 i.e 5/1512896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7730/704, 3835/8596.
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 7730/704,3835/8596?
Given fractions are 7730/704,3835/8596
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 7730/704,3835/8596, numerators are 7730,3835
Denominators are 704,8596
The GCF of 7730,3835 is 5 .
LCM of 704,8596 is 1512896.
The greatest common factor of 7730/704,3835/8596 = [GCF of 7730,3835]/[LCM of 704,8596]= 5/1512896
Therefore, the GCF of 7730/704,3835/8596 is 5/1512896.
To find the highest common factor of 7730,3835, we have to find the factors of both numbers and list the highest common factor.
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835
The HCF of 7730,3835 is 5.
Lets's calculate GCF of 7730,3835
| 5 | 7730, 3835 |
| 1546, 767 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7730,3835 By Matching Biggest Common Factor Method
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Now, list down the factors of 3835
:1,5,13,59,65,295,767,3835
Greatest Common Factor
We found the factors 7730,3835 . The biggest common factor number is the GCF number.
So the greatest common factor 7730,3835 is 5.
Lets's calculate LCM of 704,8596
| 2 | 704, 8596 |
| 2 | 352, 4298 |
| 176, 2149 |
∴ So the LCM of the given numbers is 2 x 2 x 176 x 2149 = 1512896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1512896
Therefore, the GCF of Fractions 7730/704,3835/8596 is 5/1512896
Least Common Multiple of 704,8596 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 704,8596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,8596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(704,8596) x common factors =4 x 1 = 4
LCM(704,8596) = ( 704 × 8596 ) / 4
LCM(704,8596) = 6051584 / 4
LCM(704,8596) = 1512896
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FAQs on GCF of Fractions of 7730/704, 3835/8596
1. What is the HCF of 7730,3835?
The HCF of 7730,3835 is 5
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 7730/704, 3835/8596?
Answer: GCF of Numerators as per given numbers 7730/704, 3835/8596 is
GCF of Numerators i.e. for 7730,3835 is 5
LCM of denominators i.e. for 704,8596 is 1512896.
Thus, GCF of Fractions is 5/1512896.Finally, GCF of Fractions for 7730/704, 3835/8596 is 5/1512896.