Highest Common Factor of 4722, 4479 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 4722, 4479 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4722, 4479 is 3 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 4722, 4479 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 4722, 4479 is 3.
HCF(4722, 4479) = 3
HCF of 4722, 4479 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4722, 4479 is 3.
Highest Common Factor of 4722,4479 is 3
Step 1: Since 4722 > 4479, we apply the division lemma to 4722 and 4479, to get
4722 = 4479 x 1 + 243
Step 2: Since the reminder 4479 ≠ 0, we apply division lemma to 243 and 4479, to get
4479 = 243 x 18 + 105
Step 3: We consider the new divisor 243 and the new remainder 105, and apply the division lemma to get
243 = 105 x 2 + 33
We consider the new divisor 105 and the new remainder 33,and apply the division lemma to get
105 = 33 x 3 + 6
We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get
33 = 6 x 5 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4722 and 4479 is 3
Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(105,33) = HCF(243,105) = HCF(4479,243) = HCF(4722,4479) .
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Frequently Asked Questions on HCF of 4722, 4479 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 4722, 4479?
Answer: HCF of 4722, 4479 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4722, 4479 using Euclid's Algorithm?
Answer: For arbitrary numbers 4722, 4479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.