Highest Common Factor of 326, 869, 277, 677 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 326, 869, 277, 677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 326, 869, 277, 677 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 326, 869, 277, 677 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 326, 869, 277, 677 is 1.
HCF(326, 869, 277, 677) = 1
HCF of 326, 869, 277, 677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 326, 869, 277, 677 is 1.
Highest Common Factor of 326,869,277,677 is 1
Step 1: Since 869 > 326, we apply the division lemma to 869 and 326, to get
869 = 326 x 2 + 217
Step 2: Since the reminder 326 ≠ 0, we apply division lemma to 217 and 326, to get
326 = 217 x 1 + 109
Step 3: We consider the new divisor 217 and the new remainder 109, and apply the division lemma to get
217 = 109 x 1 + 108
We consider the new divisor 109 and the new remainder 108,and apply the division lemma to get
109 = 108 x 1 + 1
We consider the new divisor 108 and the new remainder 1,and apply the division lemma to get
108 = 1 x 108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 326 and 869 is 1
Notice that 1 = HCF(108,1) = HCF(109,108) = HCF(217,109) = HCF(326,217) = HCF(869,326) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 277 > 1, we apply the division lemma to 277 and 1, to get
277 = 1 x 277 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 277 is 1
Notice that 1 = HCF(277,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 677 > 1, we apply the division lemma to 677 and 1, to get
677 = 1 x 677 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 677 is 1
Notice that 1 = HCF(677,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 326, 869, 277, 677 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 326, 869, 277, 677?
Answer: HCF of 326, 869, 277, 677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 326, 869, 277, 677 using Euclid's Algorithm?
Answer: For arbitrary numbers 326, 869, 277, 677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.