Highest Common Factor of 799, 497, 233, 340 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 799, 497, 233, 340 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 799, 497, 233, 340 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 799, 497, 233, 340 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 799, 497, 233, 340 is 1.
HCF(799, 497, 233, 340) = 1
HCF of 799, 497, 233, 340 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 799, 497, 233, 340 is 1.
Highest Common Factor of 799,497,233,340 is 1
Step 1: Since 799 > 497, we apply the division lemma to 799 and 497, to get
799 = 497 x 1 + 302
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 302 and 497, to get
497 = 302 x 1 + 195
Step 3: We consider the new divisor 302 and the new remainder 195, and apply the division lemma to get
302 = 195 x 1 + 107
We consider the new divisor 195 and the new remainder 107,and apply the division lemma to get
195 = 107 x 1 + 88
We consider the new divisor 107 and the new remainder 88,and apply the division lemma to get
107 = 88 x 1 + 19
We consider the new divisor 88 and the new remainder 19,and apply the division lemma to get
88 = 19 x 4 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 799 and 497 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(88,19) = HCF(107,88) = HCF(195,107) = HCF(302,195) = HCF(497,302) = HCF(799,497) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 233 > 1, we apply the division lemma to 233 and 1, to get
233 = 1 x 233 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 233 is 1
Notice that 1 = HCF(233,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 340 > 1, we apply the division lemma to 340 and 1, to get
340 = 1 x 340 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 340 is 1
Notice that 1 = HCF(340,1) .
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Frequently Asked Questions on HCF of 799, 497, 233, 340 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 799, 497, 233, 340?
Answer: HCF of 799, 497, 233, 340 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 799, 497, 233, 340 using Euclid's Algorithm?
Answer: For arbitrary numbers 799, 497, 233, 340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.