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, 632, 737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 632, 737 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 891, 632, 737 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, 632, 737 is 1.
HCF(891, 632, 737) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 891, 632, 737 is 1.
Step 1: Since 891 > 632, we apply the division lemma to 891 and 632, to get
891 = 632 x 1 + 259
Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 259 and 632, to get
632 = 259 x 2 + 114
Step 3: We consider the new divisor 259 and the new remainder 114, and apply the division lemma to get
259 = 114 x 2 + 31
We consider the new divisor 114 and the new remainder 31,and apply the division lemma to get
114 = 31 x 3 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 891 and 632 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(114,31) = HCF(259,114) = HCF(632,259) = HCF(891,632) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 737 > 1, we apply the division lemma to 737 and 1, to get
737 = 1 x 737 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 737 is 1
Notice that 1 = HCF(737,1) .
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 891, 632, 737?
Answer: HCF of 891, 632, 737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 632, 737 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 632, 737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.