How to Find GCF of 7730/955, 3410/821?

GCF of 7730/955, 3410/821

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7730/955, 3410/821 i.e 10/784055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7730/955, 3410/821.

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 7730/955,3410/821?

Given fractions are 7730/955,3410/821

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 7730/955,3410/821, numerators are 7730,3410

Denominators are 955,821

The GCF of 7730,3410 is 10 .

LCM of 955,821 is 784055.

The greatest common factor of 7730/955,3410/821 = [GCF of 7730,3410]/[LCM of 955,821]= 10/784055

Therefore, the GCF of 7730/955,3410/821 is 10/784055.

Greatest Common Factor of 7730,3410

To find the highest common factor of 7730,3410, 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 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410

The HCF of 7730,3410 is 10.

Lets's calculate GCF of 7730,3410

Greatest Common Factor (GCF) of 7730,3410 By Common Division

2	7730, 3410
5	3865, 1705
	773, 341

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7730,3410 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 3410

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Greatest Common Factor

We found the factors 7730,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 7730,3410 is 10.

Lets's calculate LCM of 955,821

Lowest Common Multiple of 955,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 784055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/784055

Therefore, the GCF of Fractions 7730/955,3410/821 is 10/784055

Least Common Multiple of 955,821 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 955,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,821) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(955,821) x common factors =1 x 1 = 1

LCM(955,821) = ( 955 × 821 ) / 1

LCM(955,821) = 784055 / 1

LCM(955,821) = 784055

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FAQs on GCF of Fractions of 7730/955, 3410/821

1. What is the HCF of 7730,3410?

The HCF of 7730,3410 is 10

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 7730/955, 3410/821?

Answer: GCF of Numerators as per given numbers 7730/955, 3410/821 is

GCF of Numerators i.e. for 7730,3410 is 10

LCM of denominators i.e. for 955,821 is 784055.

Thus, GCF of Fractions is 10/784055.Finally, GCF of Fractions for 7730/955, 3410/821 is 10/784055.