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 1031, 4868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1031, 4868 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 1031, 4868 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 1031, 4868 is 1.
HCF(1031, 4868) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1031, 4868 is 1.
Step 1: Since 4868 > 1031, we apply the division lemma to 4868 and 1031, to get
4868 = 1031 x 4 + 744
Step 2: Since the reminder 1031 ≠ 0, we apply division lemma to 744 and 1031, to get
1031 = 744 x 1 + 287
Step 3: We consider the new divisor 744 and the new remainder 287, and apply the division lemma to get
744 = 287 x 2 + 170
We consider the new divisor 287 and the new remainder 170,and apply the division lemma to get
287 = 170 x 1 + 117
We consider the new divisor 170 and the new remainder 117,and apply the division lemma to get
170 = 117 x 1 + 53
We consider the new divisor 117 and the new remainder 53,and apply the division lemma to get
117 = 53 x 2 + 11
We consider the new divisor 53 and the new remainder 11,and apply the division lemma to get
53 = 11 x 4 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 1031 and 4868 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(53,11) = HCF(117,53) = HCF(170,117) = HCF(287,170) = HCF(744,287) = HCF(1031,744) = HCF(4868,1031) .
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 1031, 4868?
Answer: HCF of 1031, 4868 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1031, 4868 using Euclid's Algorithm?
Answer: For arbitrary numbers 1031, 4868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.