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 4771, 713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4771, 713 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 4771, 713 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 4771, 713 is 1.
HCF(4771, 713) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4771, 713 is 1.
Step 1: Since 4771 > 713, we apply the division lemma to 4771 and 713, to get
4771 = 713 x 6 + 493
Step 2: Since the reminder 713 ≠ 0, we apply division lemma to 493 and 713, to get
713 = 493 x 1 + 220
Step 3: We consider the new divisor 493 and the new remainder 220, and apply the division lemma to get
493 = 220 x 2 + 53
We consider the new divisor 220 and the new remainder 53,and apply the division lemma to get
220 = 53 x 4 + 8
We consider the new divisor 53 and the new remainder 8,and apply the division lemma to get
53 = 8 x 6 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 4771 and 713 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(53,8) = HCF(220,53) = HCF(493,220) = HCF(713,493) = HCF(4771,713) .
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 4771, 713?
Answer: HCF of 4771, 713 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4771, 713 using Euclid's Algorithm?
Answer: For arbitrary numbers 4771, 713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.