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 874, 567, 867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 874, 567, 867 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 874, 567, 867 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 874, 567, 867 is 1.
HCF(874, 567, 867) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 874, 567, 867 is 1.
Step 1: Since 874 > 567, we apply the division lemma to 874 and 567, to get
874 = 567 x 1 + 307
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 307 and 567, to get
567 = 307 x 1 + 260
Step 3: We consider the new divisor 307 and the new remainder 260, and apply the division lemma to get
307 = 260 x 1 + 47
We consider the new divisor 260 and the new remainder 47,and apply the division lemma to get
260 = 47 x 5 + 25
We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get
47 = 25 x 1 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 874 and 567 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(260,47) = HCF(307,260) = HCF(567,307) = HCF(874,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 867 > 1, we apply the division lemma to 867 and 1, to get
867 = 1 x 867 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 867 is 1
Notice that 1 = HCF(867,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 874, 567, 867?
Answer: HCF of 874, 567, 867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 874, 567, 867 using Euclid's Algorithm?
Answer: For arbitrary numbers 874, 567, 867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.