Highest Common Factor of 3708, 3276 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, 3276 i.e. 36 the largest integer that leaves a remainder zero for all numbers.
HCF of 3708, 3276 is 36 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, 3276 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, 3276 is 36.
HCF(3708, 3276) = 36
HCF of 3708, 3276 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, 3276 is 36.
Highest Common Factor of 3708,3276 is 36
Step 1: Since 3708 > 3276, we apply the division lemma to 3708 and 3276, to get
3708 = 3276 x 1 + 432
Step 2: Since the reminder 3276 ≠ 0, we apply division lemma to 432 and 3276, to get
3276 = 432 x 7 + 252
Step 3: We consider the new divisor 432 and the new remainder 252, and apply the division lemma to get
432 = 252 x 1 + 180
We consider the new divisor 252 and the new remainder 180,and apply the division lemma to get
252 = 180 x 1 + 72
We consider the new divisor 180 and the new remainder 72,and apply the division lemma to get
180 = 72 x 2 + 36
We consider the new divisor 72 and the new remainder 36,and apply the division lemma to get
72 = 36 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 36, the HCF of 3708 and 3276 is 36
Notice that 36 = HCF(72,36) = HCF(180,72) = HCF(252,180) = HCF(432,252) = HCF(3276,432) = HCF(3708,3276) .
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Frequently Asked Questions on HCF of 3708, 3276 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, 3276?
Answer: HCF of 3708, 3276 is 36 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3708, 3276 using Euclid's Algorithm?
Answer: For arbitrary numbers 3708, 3276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
