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GCF of 1370/967, 9700/8003

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 1370/967, 9700/8003 i.e 10/7738901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1370/967, 9700/8003.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1370/967,9700/8003?

Given fractions are 1370/967,9700/8003

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 1370/967,9700/8003, numerators are 1370,9700

Denominators are 967,8003

The GCF of 1370,9700 is 10 .

LCM of 967,8003 is 7738901.

The greatest common factor of 1370/967,9700/8003 = [GCF of 1370,9700]/[LCM of 967,8003]= 10/7738901

Therefore, the GCF of 1370/967,9700/8003 is 10/7738901.

Greatest Common Factor of 1370,9700

To find the highest common factor of 1370,9700, we have to find the factors of both numbers and list the highest common factor.

The factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370

The factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700

The HCF of 1370,9700 is 10.

Lets's calculate GCF of 1370,9700

Greatest Common Factor (GCF) of 1370,9700 By Common Division

2 1370, 9700
5 685, 4850
137, 970

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

Greatest Common Factor of 1370,9700 By Matching Biggest Common Factor Method

Greatest Common Factor of 1370,9700 By Matching Biggest Common Factor Method

Now, list down the factors of 1370

:

1,2,5,10,137,274,685,1370

Now, list down the factors of 9700

:

1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700

Greatest Common Factor

We found the factors 1370,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 1370,9700 is 10.


Lets's calculate LCM of 967,8003

Lowest Common Multiple of 967,8003 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7738901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7738901

Therefore, the GCF of Fractions 1370/967,9700/8003 is 10/7738901

Least Common Multiple of 967,8003 with GCF Formula

Least Common Multiple of 967,8003 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 967,8003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,8003) = 1

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

GCF(967,8003) x common factors =1 x 1 = 1

LCM(967,8003) = ( 967 × 8003 ) / 1

LCM(967,8003) = 7738901 / 1

LCM(967,8003) = 7738901


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1370/967, 9700/8003

1. What is the HCF of 1370,9700?

The HCF of 1370,9700 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 1370/967, 9700/8003?

Answer: GCF of Numerators as per given numbers 1370/967, 9700/8003 is

GCF of Numerators i.e. for 1370,9700 is 10

LCM of denominators i.e. for 967,8003 is 7738901.

Thus, GCF of Fractions is 10/7738901.Finally, GCF of Fractions for 1370/967, 9700/8003 is 10/7738901.