Highest Common Factor of 3716, 716 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 3716, 716 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3716, 716 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 3716, 716 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 3716, 716 is 4.
HCF(3716, 716) = 4
HCF of 3716, 716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3716, 716 is 4.
Highest Common Factor of 3716,716 is 4
Step 1: Since 3716 > 716, we apply the division lemma to 3716 and 716, to get
3716 = 716 x 5 + 136
Step 2: Since the reminder 716 ≠ 0, we apply division lemma to 136 and 716, to get
716 = 136 x 5 + 36
Step 3: We consider the new divisor 136 and the new remainder 36, and apply the division lemma to get
136 = 36 x 3 + 28
We consider the new divisor 36 and the new remainder 28,and apply the division lemma to get
36 = 28 x 1 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3716 and 716 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(36,28) = HCF(136,36) = HCF(716,136) = HCF(3716,716) .
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Frequently Asked Questions on HCF of 3716, 716 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 3716, 716?
Answer: HCF of 3716, 716 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3716, 716 using Euclid's Algorithm?
Answer: For arbitrary numbers 3716, 716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.