How to Find GCF of 962/992, 107/920?

GCF of 962/992, 107/920

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 962/992, 107/920 i.e 1/114080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/992, 107/920.

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 962/992,107/920?

Given fractions are 962/992,107/920

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 962/992,107/920, numerators are 962,107

Denominators are 992,920

The GCF of 962,107 is 1 .

LCM of 992,920 is 114080.

The greatest common factor of 962/992,107/920 = [GCF of 962,107]/[LCM of 992,920]= 1/114080

Therefore, the GCF of 962/992,107/920 is 1/114080.

Greatest Common Factor of 962,107

To find the highest common factor of 962,107, we have to find the factors of both numbers and list the highest common factor.

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The factors of 107 are 1, 107

The HCF of 962,107 is 1.

Lets's calculate GCF of 962,107

Greatest Common Factor (GCF) of 962,107 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 962,107 By Matching Biggest Common Factor Method

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Now, list down the factors of 107

1,107

Greatest Common Factor

We found the factors 962,107 . The biggest common factor number is the GCF number.
So the greatest common factor 962,107 is 1.

Lets's calculate LCM of 992,920

Lowest Common Multiple of 992,920 using Common Division

2	992, 920
2	496, 460
2	248, 230
	124, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 115 = 114080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114080

Therefore, the GCF of Fractions 962/992,107/920 is 1/114080

Least Common Multiple of 992,920 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 992,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,920) = 8

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

GCF(992,920) x common factors =8 x 1 = 8

LCM(992,920) = ( 992 × 920 ) / 8

LCM(992,920) = 912640 / 8

LCM(992,920) = 114080

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FAQs on GCF of Fractions of 962/992, 107/920

1. What is the HCF of 962,107?

The HCF of 962,107 is 1

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 962/992, 107/920?

Answer: GCF of Numerators as per given numbers 962/992, 107/920 is

GCF of Numerators i.e. for 962,107 is 1

LCM of denominators i.e. for 992,920 is 114080.

Thus, GCF of Fractions is 1/114080.Finally, GCF of Fractions for 962/992, 107/920 is 1/114080.