Highest Common Factor of 3708, 4266 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 3708, 4266 i.e. 18 the largest integer that leaves a remainder zero for all numbers.
HCF of 3708, 4266 is 18 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 3708, 4266 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 3708, 4266 is 18.
HCF(3708, 4266) = 18
HCF of 3708, 4266 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3708, 4266 is 18.
Highest Common Factor of 3708,4266 is 18
Step 1: Since 4266 > 3708, we apply the division lemma to 4266 and 3708, to get
4266 = 3708 x 1 + 558
Step 2: Since the reminder 3708 ≠ 0, we apply division lemma to 558 and 3708, to get
3708 = 558 x 6 + 360
Step 3: We consider the new divisor 558 and the new remainder 360, and apply the division lemma to get
558 = 360 x 1 + 198
We consider the new divisor 360 and the new remainder 198,and apply the division lemma to get
360 = 198 x 1 + 162
We consider the new divisor 198 and the new remainder 162,and apply the division lemma to get
198 = 162 x 1 + 36
We consider the new divisor 162 and the new remainder 36,and apply the division lemma to get
162 = 36 x 4 + 18
We consider the new divisor 36 and the new remainder 18,and apply the division lemma to get
36 = 18 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 3708 and 4266 is 18
Notice that 18 = HCF(36,18) = HCF(162,36) = HCF(198,162) = HCF(360,198) = HCF(558,360) = HCF(3708,558) = HCF(4266,3708) .
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Frequently Asked Questions on HCF of 3708, 4266 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 3708, 4266?
Answer: HCF of 3708, 4266 is 18 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3708, 4266 using Euclid's Algorithm?
Answer: For arbitrary numbers 3708, 4266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.