Highest Common Factor of 683, 799, 635 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 683, 799, 635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 683, 799, 635 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 683, 799, 635 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 683, 799, 635 is 1.
HCF(683, 799, 635) = 1
HCF of 683, 799, 635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 683, 799, 635 is 1.
Highest Common Factor of 683,799,635 is 1
Step 1: Since 799 > 683, we apply the division lemma to 799 and 683, to get
799 = 683 x 1 + 116
Step 2: Since the reminder 683 ≠ 0, we apply division lemma to 116 and 683, to get
683 = 116 x 5 + 103
Step 3: We consider the new divisor 116 and the new remainder 103, and apply the division lemma to get
116 = 103 x 1 + 13
We consider the new divisor 103 and the new remainder 13,and apply the division lemma to get
103 = 13 x 7 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 683 and 799 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(103,13) = HCF(116,103) = HCF(683,116) = HCF(799,683) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 635 > 1, we apply the division lemma to 635 and 1, to get
635 = 1 x 635 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 635 is 1
Notice that 1 = HCF(635,1) .
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Frequently Asked Questions on HCF of 683, 799, 635 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 683, 799, 635?
Answer: HCF of 683, 799, 635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 683, 799, 635 using Euclid's Algorithm?
Answer: For arbitrary numbers 683, 799, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.