Highest Common Factor of 669, 7682, 7460 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 669, 7682, 7460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 669, 7682, 7460 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 669, 7682, 7460 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 669, 7682, 7460 is 1.
HCF(669, 7682, 7460) = 1
HCF of 669, 7682, 7460 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 669, 7682, 7460 is 1.
Highest Common Factor of 669,7682,7460 is 1
Step 1: Since 7682 > 669, we apply the division lemma to 7682 and 669, to get
7682 = 669 x 11 + 323
Step 2: Since the reminder 669 ≠ 0, we apply division lemma to 323 and 669, to get
669 = 323 x 2 + 23
Step 3: We consider the new divisor 323 and the new remainder 23, and apply the division lemma to get
323 = 23 x 14 + 1
We consider the new divisor 23 and the new remainder 1, and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 669 and 7682 is 1
Notice that 1 = HCF(23,1) = HCF(323,23) = HCF(669,323) = HCF(7682,669) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7460 > 1, we apply the division lemma to 7460 and 1, to get
7460 = 1 x 7460 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7460 is 1
Notice that 1 = HCF(7460,1) .
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Frequently Asked Questions on HCF of 669, 7682, 7460 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 669, 7682, 7460?
Answer: HCF of 669, 7682, 7460 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 669, 7682, 7460 using Euclid's Algorithm?
Answer: For arbitrary numbers 669, 7682, 7460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.