Highest Common Factor of 6425, 4666 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 6425, 4666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6425, 4666 is 1 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 6425, 4666 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 6425, 4666 is 1.
HCF(6425, 4666) = 1
HCF of 6425, 4666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6425, 4666 is 1.
Highest Common Factor of 6425,4666 is 1
Step 1: Since 6425 > 4666, we apply the division lemma to 6425 and 4666, to get
6425 = 4666 x 1 + 1759
Step 2: Since the reminder 4666 ≠ 0, we apply division lemma to 1759 and 4666, to get
4666 = 1759 x 2 + 1148
Step 3: We consider the new divisor 1759 and the new remainder 1148, and apply the division lemma to get
1759 = 1148 x 1 + 611
We consider the new divisor 1148 and the new remainder 611,and apply the division lemma to get
1148 = 611 x 1 + 537
We consider the new divisor 611 and the new remainder 537,and apply the division lemma to get
611 = 537 x 1 + 74
We consider the new divisor 537 and the new remainder 74,and apply the division lemma to get
537 = 74 x 7 + 19
We consider the new divisor 74 and the new remainder 19,and apply the division lemma to get
74 = 19 x 3 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6425 and 4666 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(74,19) = HCF(537,74) = HCF(611,537) = HCF(1148,611) = HCF(1759,1148) = HCF(4666,1759) = HCF(6425,4666) .
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Frequently Asked Questions on HCF of 6425, 4666 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 6425, 4666?
Answer: HCF of 6425, 4666 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6425, 4666 using Euclid's Algorithm?
Answer: For arbitrary numbers 6425, 4666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
