Highest Common Factor of 4204, 5472 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 4204, 5472 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4204, 5472 is 4 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 4204, 5472 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 4204, 5472 is 4.
HCF(4204, 5472) = 4
HCF of 4204, 5472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4204, 5472 is 4.
Highest Common Factor of 4204,5472 is 4
Step 1: Since 5472 > 4204, we apply the division lemma to 5472 and 4204, to get
5472 = 4204 x 1 + 1268
Step 2: Since the reminder 4204 ≠ 0, we apply division lemma to 1268 and 4204, to get
4204 = 1268 x 3 + 400
Step 3: We consider the new divisor 1268 and the new remainder 400, and apply the division lemma to get
1268 = 400 x 3 + 68
We consider the new divisor 400 and the new remainder 68,and apply the division lemma to get
400 = 68 x 5 + 60
We consider the new divisor 68 and the new remainder 60,and apply the division lemma to get
68 = 60 x 1 + 8
We consider the new divisor 60 and the new remainder 8,and apply the division lemma to get
60 = 8 x 7 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4204 and 5472 is 4
Notice that 4 = HCF(8,4) = HCF(60,8) = HCF(68,60) = HCF(400,68) = HCF(1268,400) = HCF(4204,1268) = HCF(5472,4204) .
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Frequently Asked Questions on HCF of 4204, 5472 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 4204, 5472?
Answer: HCF of 4204, 5472 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4204, 5472 using Euclid's Algorithm?
Answer: For arbitrary numbers 4204, 5472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.