Highest Common Factor of 4772, 8162 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 4772, 8162 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4772, 8162 is 2 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 4772, 8162 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 4772, 8162 is 2.
HCF(4772, 8162) = 2
HCF of 4772, 8162 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4772, 8162 is 2.
Highest Common Factor of 4772,8162 is 2
Step 1: Since 8162 > 4772, we apply the division lemma to 8162 and 4772, to get
8162 = 4772 x 1 + 3390
Step 2: Since the reminder 4772 ≠ 0, we apply division lemma to 3390 and 4772, to get
4772 = 3390 x 1 + 1382
Step 3: We consider the new divisor 3390 and the new remainder 1382, and apply the division lemma to get
3390 = 1382 x 2 + 626
We consider the new divisor 1382 and the new remainder 626,and apply the division lemma to get
1382 = 626 x 2 + 130
We consider the new divisor 626 and the new remainder 130,and apply the division lemma to get
626 = 130 x 4 + 106
We consider the new divisor 130 and the new remainder 106,and apply the division lemma to get
130 = 106 x 1 + 24
We consider the new divisor 106 and the new remainder 24,and apply the division lemma to get
106 = 24 x 4 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4772 and 8162 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(106,24) = HCF(130,106) = HCF(626,130) = HCF(1382,626) = HCF(3390,1382) = HCF(4772,3390) = HCF(8162,4772) .
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Frequently Asked Questions on HCF of 4772, 8162 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 4772, 8162?
Answer: HCF of 4772, 8162 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4772, 8162 using Euclid's Algorithm?
Answer: For arbitrary numbers 4772, 8162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
