Highest Common Factor of 7682, 3152 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 7682, 3152 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7682, 3152 is 2 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 7682, 3152 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 7682, 3152 is 2.
HCF(7682, 3152) = 2
HCF of 7682, 3152 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7682, 3152 is 2.
Highest Common Factor of 7682,3152 is 2
Step 1: Since 7682 > 3152, we apply the division lemma to 7682 and 3152, to get
7682 = 3152 x 2 + 1378
Step 2: Since the reminder 3152 ≠ 0, we apply division lemma to 1378 and 3152, to get
3152 = 1378 x 2 + 396
Step 3: We consider the new divisor 1378 and the new remainder 396, and apply the division lemma to get
1378 = 396 x 3 + 190
We consider the new divisor 396 and the new remainder 190,and apply the division lemma to get
396 = 190 x 2 + 16
We consider the new divisor 190 and the new remainder 16,and apply the division lemma to get
190 = 16 x 11 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7682 and 3152 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(190,16) = HCF(396,190) = HCF(1378,396) = HCF(3152,1378) = HCF(7682,3152) .
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Frequently Asked Questions on HCF of 7682, 3152 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 7682, 3152?
Answer: HCF of 7682, 3152 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7682, 3152 using Euclid's Algorithm?
Answer: For arbitrary numbers 7682, 3152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.