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 957, 45371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 45371 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 957, 45371 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 957, 45371 is 1.
HCF(957, 45371) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 45371 is 1.
Step 1: Since 45371 > 957, we apply the division lemma to 45371 and 957, to get
45371 = 957 x 47 + 392
Step 2: Since the reminder 957 ≠ 0, we apply division lemma to 392 and 957, to get
957 = 392 x 2 + 173
Step 3: We consider the new divisor 392 and the new remainder 173, and apply the division lemma to get
392 = 173 x 2 + 46
We consider the new divisor 173 and the new remainder 46,and apply the division lemma to get
173 = 46 x 3 + 35
We consider the new divisor 46 and the new remainder 35,and apply the division lemma to get
46 = 35 x 1 + 11
We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get
35 = 11 x 3 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 957 and 45371 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(46,35) = HCF(173,46) = HCF(392,173) = HCF(957,392) = HCF(45371,957) .
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 957, 45371?
Answer: HCF of 957, 45371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 45371 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 45371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.