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 807, 6073 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 807, 6073 is 1 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 807, 6073 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 807, 6073 is 1.
HCF(807, 6073) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 807, 6073 is 1.
Step 1: Since 6073 > 807, we apply the division lemma to 6073 and 807, to get
6073 = 807 x 7 + 424
Step 2: Since the reminder 807 ≠ 0, we apply division lemma to 424 and 807, to get
807 = 424 x 1 + 383
Step 3: We consider the new divisor 424 and the new remainder 383, and apply the division lemma to get
424 = 383 x 1 + 41
We consider the new divisor 383 and the new remainder 41,and apply the division lemma to get
383 = 41 x 9 + 14
We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get
41 = 14 x 2 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 807 and 6073 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(383,41) = HCF(424,383) = HCF(807,424) = HCF(6073,807) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 807, 6073?
Answer: HCF of 807, 6073 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 807, 6073 using Euclid's Algorithm?
Answer: For arbitrary numbers 807, 6073 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.