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 921, 371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 921, 371 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 921, 371 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 921, 371 is 1.
HCF(921, 371) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 921, 371 is 1.
Step 1: Since 921 > 371, we apply the division lemma to 921 and 371, to get
921 = 371 x 2 + 179
Step 2: Since the reminder 371 ≠ 0, we apply division lemma to 179 and 371, to get
371 = 179 x 2 + 13
Step 3: We consider the new divisor 179 and the new remainder 13, and apply the division lemma to get
179 = 13 x 13 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 921 and 371 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(179,13) = HCF(371,179) = HCF(921,371) .
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 921, 371?
Answer: HCF of 921, 371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 921, 371 using Euclid's Algorithm?
Answer: For arbitrary numbers 921, 371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.