Highest Common Factor of 3757, 6429 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 3757, 6429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3757, 6429 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 3757, 6429 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 3757, 6429 is 1.
HCF(3757, 6429) = 1
HCF of 3757, 6429 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3757, 6429 is 1.
Highest Common Factor of 3757,6429 is 1
Step 1: Since 6429 > 3757, we apply the division lemma to 6429 and 3757, to get
6429 = 3757 x 1 + 2672
Step 2: Since the reminder 3757 ≠ 0, we apply division lemma to 2672 and 3757, to get
3757 = 2672 x 1 + 1085
Step 3: We consider the new divisor 2672 and the new remainder 1085, and apply the division lemma to get
2672 = 1085 x 2 + 502
We consider the new divisor 1085 and the new remainder 502,and apply the division lemma to get
1085 = 502 x 2 + 81
We consider the new divisor 502 and the new remainder 81,and apply the division lemma to get
502 = 81 x 6 + 16
We consider the new divisor 81 and the new remainder 16,and apply the division lemma to get
81 = 16 x 5 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3757 and 6429 is 1
Notice that 1 = HCF(16,1) = HCF(81,16) = HCF(502,81) = HCF(1085,502) = HCF(2672,1085) = HCF(3757,2672) = HCF(6429,3757) .
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Frequently Asked Questions on HCF of 3757, 6429 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 3757, 6429?
Answer: HCF of 3757, 6429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3757, 6429 using Euclid's Algorithm?
Answer: For arbitrary numbers 3757, 6429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.