Highest Common Factor of 237, 921, 387 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 237, 921, 387 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 237, 921, 387 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 237, 921, 387 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 237, 921, 387 is 3.
HCF(237, 921, 387) = 3
HCF of 237, 921, 387 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 237, 921, 387 is 3.
Highest Common Factor of 237,921,387 is 3
Step 1: Since 921 > 237, we apply the division lemma to 921 and 237, to get
921 = 237 x 3 + 210
Step 2: Since the reminder 237 ≠ 0, we apply division lemma to 210 and 237, to get
237 = 210 x 1 + 27
Step 3: We consider the new divisor 210 and the new remainder 27, and apply the division lemma to get
210 = 27 x 7 + 21
We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get
27 = 21 x 1 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 237 and 921 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(210,27) = HCF(237,210) = HCF(921,237) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 387 > 3, we apply the division lemma to 387 and 3, to get
387 = 3 x 129 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 387 is 3
Notice that 3 = HCF(387,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 237, 921, 387 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 237, 921, 387?
Answer: HCF of 237, 921, 387 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 237, 921, 387 using Euclid's Algorithm?
Answer: For arbitrary numbers 237, 921, 387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.