Highest Common Factor of 899, 669, 939 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 899, 669, 939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 669, 939 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 899, 669, 939 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 899, 669, 939 is 1.
HCF(899, 669, 939) = 1
HCF of 899, 669, 939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 669, 939 is 1.
Highest Common Factor of 899,669,939 is 1
Step 1: Since 899 > 669, we apply the division lemma to 899 and 669, to get
899 = 669 x 1 + 230
Step 2: Since the reminder 669 ≠ 0, we apply division lemma to 230 and 669, to get
669 = 230 x 2 + 209
Step 3: We consider the new divisor 230 and the new remainder 209, and apply the division lemma to get
230 = 209 x 1 + 21
We consider the new divisor 209 and the new remainder 21,and apply the division lemma to get
209 = 21 x 9 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 899 and 669 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(209,21) = HCF(230,209) = HCF(669,230) = HCF(899,669) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 939 > 1, we apply the division lemma to 939 and 1, to get
939 = 1 x 939 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 939 is 1
Notice that 1 = HCF(939,1) .
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Frequently Asked Questions on HCF of 899, 669, 939 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 899, 669, 939?
Answer: HCF of 899, 669, 939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 669, 939 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 669, 939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.