Highest Common Factor of 128, 867, 923, 349 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 128, 867, 923, 349 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 128, 867, 923, 349 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 128, 867, 923, 349 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 128, 867, 923, 349 is 1.
HCF(128, 867, 923, 349) = 1
HCF of 128, 867, 923, 349 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 128, 867, 923, 349 is 1.
Highest Common Factor of 128,867,923,349 is 1
Step 1: Since 867 > 128, we apply the division lemma to 867 and 128, to get
867 = 128 x 6 + 99
Step 2: Since the reminder 128 ≠ 0, we apply division lemma to 99 and 128, to get
128 = 99 x 1 + 29
Step 3: We consider the new divisor 99 and the new remainder 29, and apply the division lemma to get
99 = 29 x 3 + 12
We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get
29 = 12 x 2 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 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 128 and 867 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(99,29) = HCF(128,99) = HCF(867,128) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 923 > 1, we apply the division lemma to 923 and 1, to get
923 = 1 x 923 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 923 is 1
Notice that 1 = HCF(923,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 349 > 1, we apply the division lemma to 349 and 1, to get
349 = 1 x 349 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 349 is 1
Notice that 1 = HCF(349,1) .
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Frequently Asked Questions on HCF of 128, 867, 923, 349 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 128, 867, 923, 349?
Answer: HCF of 128, 867, 923, 349 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 128, 867, 923, 349 using Euclid's Algorithm?
Answer: For arbitrary numbers 128, 867, 923, 349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.