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 6461, 6031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6461, 6031 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 6461, 6031 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 6461, 6031 is 1.
HCF(6461, 6031) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6461, 6031 is 1.
Step 1: Since 6461 > 6031, we apply the division lemma to 6461 and 6031, to get
6461 = 6031 x 1 + 430
Step 2: Since the reminder 6031 ≠ 0, we apply division lemma to 430 and 6031, to get
6031 = 430 x 14 + 11
Step 3: We consider the new divisor 430 and the new remainder 11, and apply the division lemma to get
430 = 11 x 39 + 1
We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6461 and 6031 is 1
Notice that 1 = HCF(11,1) = HCF(430,11) = HCF(6031,430) = HCF(6461,6031) .
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 6461, 6031?
Answer: HCF of 6461, 6031 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6461, 6031 using Euclid's Algorithm?
Answer: For arbitrary numbers 6461, 6031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.