Highest Common Factor of 647, 993, 719, 83 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 647, 993, 719, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 647, 993, 719, 83 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 647, 993, 719, 83 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 647, 993, 719, 83 is 1.
HCF(647, 993, 719, 83) = 1
HCF of 647, 993, 719, 83 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 647, 993, 719, 83 is 1.
Highest Common Factor of 647,993,719,83 is 1
Step 1: Since 993 > 647, we apply the division lemma to 993 and 647, to get
993 = 647 x 1 + 346
Step 2: Since the reminder 647 ≠ 0, we apply division lemma to 346 and 647, to get
647 = 346 x 1 + 301
Step 3: We consider the new divisor 346 and the new remainder 301, and apply the division lemma to get
346 = 301 x 1 + 45
We consider the new divisor 301 and the new remainder 45,and apply the division lemma to get
301 = 45 x 6 + 31
We consider the new divisor 45 and the new remainder 31,and apply the division lemma to get
45 = 31 x 1 + 14
We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get
31 = 14 x 2 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 647 and 993 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(45,31) = HCF(301,45) = HCF(346,301) = HCF(647,346) = HCF(993,647) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 719 > 1, we apply the division lemma to 719 and 1, to get
719 = 1 x 719 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 719 is 1
Notice that 1 = HCF(719,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get
83 = 1 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1
Notice that 1 = HCF(83,1) .
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Frequently Asked Questions on HCF of 647, 993, 719, 83 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 647, 993, 719, 83?
Answer: HCF of 647, 993, 719, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 647, 993, 719, 83 using Euclid's Algorithm?
Answer: For arbitrary numbers 647, 993, 719, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.