Highest Common Factor of 692, 354, 386, 639 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 692, 354, 386, 639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 692, 354, 386, 639 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 692, 354, 386, 639 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 692, 354, 386, 639 is 1.
HCF(692, 354, 386, 639) = 1
HCF of 692, 354, 386, 639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 692, 354, 386, 639 is 1.
Highest Common Factor of 692,354,386,639 is 1
Step 1: Since 692 > 354, we apply the division lemma to 692 and 354, to get
692 = 354 x 1 + 338
Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 338 and 354, to get
354 = 338 x 1 + 16
Step 3: We consider the new divisor 338 and the new remainder 16, and apply the division lemma to get
338 = 16 x 21 + 2
We consider the new divisor 16 and the new remainder 2, and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 692 and 354 is 2
Notice that 2 = HCF(16,2) = HCF(338,16) = HCF(354,338) = HCF(692,354) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 386 > 2, we apply the division lemma to 386 and 2, to get
386 = 2 x 193 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 386 is 2
Notice that 2 = HCF(386,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 639 > 2, we apply the division lemma to 639 and 2, to get
639 = 2 x 319 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 639 is 1
Notice that 1 = HCF(2,1) = HCF(639,2) .
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Frequently Asked Questions on HCF of 692, 354, 386, 639 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 692, 354, 386, 639?
Answer: HCF of 692, 354, 386, 639 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 692, 354, 386, 639 using Euclid's Algorithm?
Answer: For arbitrary numbers 692, 354, 386, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.