Highest Common Factor of 632, 871, 921 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 632, 871, 921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 632, 871, 921 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 632, 871, 921 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 632, 871, 921 is 1.
HCF(632, 871, 921) = 1
HCF of 632, 871, 921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 632, 871, 921 is 1.
Highest Common Factor of 632,871,921 is 1
Step 1: Since 871 > 632, we apply the division lemma to 871 and 632, to get
871 = 632 x 1 + 239
Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 239 and 632, to get
632 = 239 x 2 + 154
Step 3: We consider the new divisor 239 and the new remainder 154, and apply the division lemma to get
239 = 154 x 1 + 85
We consider the new divisor 154 and the new remainder 85,and apply the division lemma to get
154 = 85 x 1 + 69
We consider the new divisor 85 and the new remainder 69,and apply the division lemma to get
85 = 69 x 1 + 16
We consider the new divisor 69 and the new remainder 16,and apply the division lemma to get
69 = 16 x 4 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 632 and 871 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(69,16) = HCF(85,69) = HCF(154,85) = HCF(239,154) = HCF(632,239) = HCF(871,632) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 921 > 1, we apply the division lemma to 921 and 1, to get
921 = 1 x 921 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 921 is 1
Notice that 1 = HCF(921,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 632, 871, 921 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 632, 871, 921?
Answer: HCF of 632, 871, 921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 632, 871, 921 using Euclid's Algorithm?
Answer: For arbitrary numbers 632, 871, 921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.