Highest Common Factor of 931, 8006 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 931, 8006 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 8006 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 931, 8006 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 931, 8006 is 1.
HCF(931, 8006) = 1
HCF of 931, 8006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 8006 is 1.
Highest Common Factor of 931,8006 is 1
Step 1: Since 8006 > 931, we apply the division lemma to 8006 and 931, to get
8006 = 931 x 8 + 558
Step 2: Since the reminder 931 ≠ 0, we apply division lemma to 558 and 931, to get
931 = 558 x 1 + 373
Step 3: We consider the new divisor 558 and the new remainder 373, and apply the division lemma to get
558 = 373 x 1 + 185
We consider the new divisor 373 and the new remainder 185,and apply the division lemma to get
373 = 185 x 2 + 3
We consider the new divisor 185 and the new remainder 3,and apply the division lemma to get
185 = 3 x 61 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 931 and 8006 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(185,3) = HCF(373,185) = HCF(558,373) = HCF(931,558) = HCF(8006,931) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 931, 8006 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 931, 8006?
Answer: HCF of 931, 8006 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 8006 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 8006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.