Highest Common Factor of 6476, 4204 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 6476, 4204 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6476, 4204 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 6476, 4204 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 6476, 4204 is 4.
HCF(6476, 4204) = 4
HCF of 6476, 4204 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6476, 4204 is 4.
Highest Common Factor of 6476,4204 is 4
Step 1: Since 6476 > 4204, we apply the division lemma to 6476 and 4204, to get
6476 = 4204 x 1 + 2272
Step 2: Since the reminder 4204 ≠ 0, we apply division lemma to 2272 and 4204, to get
4204 = 2272 x 1 + 1932
Step 3: We consider the new divisor 2272 and the new remainder 1932, and apply the division lemma to get
2272 = 1932 x 1 + 340
We consider the new divisor 1932 and the new remainder 340,and apply the division lemma to get
1932 = 340 x 5 + 232
We consider the new divisor 340 and the new remainder 232,and apply the division lemma to get
340 = 232 x 1 + 108
We consider the new divisor 232 and the new remainder 108,and apply the division lemma to get
232 = 108 x 2 + 16
We consider the new divisor 108 and the new remainder 16,and apply the division lemma to get
108 = 16 x 6 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6476 and 4204 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(108,16) = HCF(232,108) = HCF(340,232) = HCF(1932,340) = HCF(2272,1932) = HCF(4204,2272) = HCF(6476,4204) .
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Frequently Asked Questions on HCF of 6476, 4204 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 6476, 4204?
Answer: HCF of 6476, 4204 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6476, 4204 using Euclid's Algorithm?
Answer: For arbitrary numbers 6476, 4204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.