Highest Common Factor of 872, 623, 774 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 872, 623, 774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 872, 623, 774 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 872, 623, 774 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 872, 623, 774 is 1.
HCF(872, 623, 774) = 1
HCF of 872, 623, 774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 872, 623, 774 is 1.
Highest Common Factor of 872,623,774 is 1
Step 1: Since 872 > 623, we apply the division lemma to 872 and 623, to get
872 = 623 x 1 + 249
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 249 and 623, to get
623 = 249 x 2 + 125
Step 3: We consider the new divisor 249 and the new remainder 125, and apply the division lemma to get
249 = 125 x 1 + 124
We consider the new divisor 125 and the new remainder 124,and apply the division lemma to get
125 = 124 x 1 + 1
We consider the new divisor 124 and the new remainder 1,and apply the division lemma to get
124 = 1 x 124 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 872 and 623 is 1
Notice that 1 = HCF(124,1) = HCF(125,124) = HCF(249,125) = HCF(623,249) = HCF(872,623) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 774 > 1, we apply the division lemma to 774 and 1, to get
774 = 1 x 774 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 774 is 1
Notice that 1 = HCF(774,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 872, 623, 774 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 872, 623, 774?
Answer: HCF of 872, 623, 774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 872, 623, 774 using Euclid's Algorithm?
Answer: For arbitrary numbers 872, 623, 774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
