Highest Common Factor of 4806, 556 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 4806, 556 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4806, 556 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 4806, 556 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 4806, 556 is 2.
HCF(4806, 556) = 2
HCF of 4806, 556 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4806, 556 is 2.
Highest Common Factor of 4806,556 is 2
Step 1: Since 4806 > 556, we apply the division lemma to 4806 and 556, to get
4806 = 556 x 8 + 358
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 358 and 556, to get
556 = 358 x 1 + 198
Step 3: We consider the new divisor 358 and the new remainder 198, and apply the division lemma to get
358 = 198 x 1 + 160
We consider the new divisor 198 and the new remainder 160,and apply the division lemma to get
198 = 160 x 1 + 38
We consider the new divisor 160 and the new remainder 38,and apply the division lemma to get
160 = 38 x 4 + 8
We consider the new divisor 38 and the new remainder 8,and apply the division lemma to get
38 = 8 x 4 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4806 and 556 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(38,8) = HCF(160,38) = HCF(198,160) = HCF(358,198) = HCF(556,358) = HCF(4806,556) .
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Frequently Asked Questions on HCF of 4806, 556 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 4806, 556?
Answer: HCF of 4806, 556 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4806, 556 using Euclid's Algorithm?
Answer: For arbitrary numbers 4806, 556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
