Highest Common Factor of 920, 805 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 920, 805 i.e. 115 the largest integer that leaves a remainder zero for all numbers.

HCF of 920, 805 is 115 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 920, 805 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 920, 805 is 115.

HCF(920, 805) = 115

HCF of 920, 805 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 920, 805 is 115.

Highest Common Factor of 920,805 using Euclid's algorithm

Highest Common Factor of 920,805 is 115

Step 1: Since 920 > 805, we apply the division lemma to 920 and 805, to get

920 = 805 x 1 + 115

Step 2: Since the reminder 805 ≠ 0, we apply division lemma to 115 and 805, to get

805 = 115 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 115, the HCF of 920 and 805 is 115

Notice that 115 = HCF(805,115) = HCF(920,805) .

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Frequently Asked Questions on HCF of 920, 805 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 920, 805?

Answer: HCF of 920, 805 is 115 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 920, 805 using Euclid's Algorithm?

Answer: For arbitrary numbers 920, 805 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.