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 891, 26544 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 26544 is 3 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 891, 26544 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 891, 26544 is 3.
HCF(891, 26544) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 891, 26544 is 3.
Step 1: Since 26544 > 891, we apply the division lemma to 26544 and 891, to get
26544 = 891 x 29 + 705
Step 2: Since the reminder 891 ≠ 0, we apply division lemma to 705 and 891, to get
891 = 705 x 1 + 186
Step 3: We consider the new divisor 705 and the new remainder 186, and apply the division lemma to get
705 = 186 x 3 + 147
We consider the new divisor 186 and the new remainder 147,and apply the division lemma to get
186 = 147 x 1 + 39
We consider the new divisor 147 and the new remainder 39,and apply the division lemma to get
147 = 39 x 3 + 30
We consider the new divisor 39 and the new remainder 30,and apply the division lemma to get
39 = 30 x 1 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 891 and 26544 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(39,30) = HCF(147,39) = HCF(186,147) = HCF(705,186) = HCF(891,705) = HCF(26544,891) .
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 891, 26544?
Answer: HCF of 891, 26544 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 26544 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 26544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.