Highest Common Factor of 799, 665, 209 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, 665, 209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 799, 665, 209 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, 665, 209 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, 665, 209 is 1.
HCF(799, 665, 209) = 1
HCF of 799, 665, 209 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, 665, 209 is 1.
Highest Common Factor of 799,665,209 is 1
Step 1: Since 799 > 665, we apply the division lemma to 799 and 665, to get
799 = 665 x 1 + 134
Step 2: Since the reminder 665 ≠ 0, we apply division lemma to 134 and 665, to get
665 = 134 x 4 + 129
Step 3: We consider the new divisor 134 and the new remainder 129, and apply the division lemma to get
134 = 129 x 1 + 5
We consider the new divisor 129 and the new remainder 5,and apply the division lemma to get
129 = 5 x 25 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 799 and 665 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(129,5) = HCF(134,129) = HCF(665,134) = HCF(799,665) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 209 > 1, we apply the division lemma to 209 and 1, to get
209 = 1 x 209 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 209 is 1
Notice that 1 = HCF(209,1) .
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Frequently Asked Questions on HCF of 799, 665, 209 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, 665, 209?
Answer: HCF of 799, 665, 209 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 799, 665, 209 using Euclid's Algorithm?
Answer: For arbitrary numbers 799, 665, 209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.