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 7401, 1157, 45831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7401, 1157, 45831 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 7401, 1157, 45831 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 7401, 1157, 45831 is 1.
HCF(7401, 1157, 45831) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7401, 1157, 45831 is 1.
Step 1: Since 7401 > 1157, we apply the division lemma to 7401 and 1157, to get
7401 = 1157 x 6 + 459
Step 2: Since the reminder 1157 ≠ 0, we apply division lemma to 459 and 1157, to get
1157 = 459 x 2 + 239
Step 3: We consider the new divisor 459 and the new remainder 239, and apply the division lemma to get
459 = 239 x 1 + 220
We consider the new divisor 239 and the new remainder 220,and apply the division lemma to get
239 = 220 x 1 + 19
We consider the new divisor 220 and the new remainder 19,and apply the division lemma to get
220 = 19 x 11 + 11
We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get
19 = 11 x 1 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7401 and 1157 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(220,19) = HCF(239,220) = HCF(459,239) = HCF(1157,459) = HCF(7401,1157) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45831 > 1, we apply the division lemma to 45831 and 1, to get
45831 = 1 x 45831 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45831 is 1
Notice that 1 = HCF(45831,1) .
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 7401, 1157, 45831?
Answer: HCF of 7401, 1157, 45831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7401, 1157, 45831 using Euclid's Algorithm?
Answer: For arbitrary numbers 7401, 1157, 45831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.