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 1275, 9382 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1275, 9382 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 1275, 9382 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 1275, 9382 is 1.
HCF(1275, 9382) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1275, 9382 is 1.
Step 1: Since 9382 > 1275, we apply the division lemma to 9382 and 1275, to get
9382 = 1275 x 7 + 457
Step 2: Since the reminder 1275 ≠ 0, we apply division lemma to 457 and 1275, to get
1275 = 457 x 2 + 361
Step 3: We consider the new divisor 457 and the new remainder 361, and apply the division lemma to get
457 = 361 x 1 + 96
We consider the new divisor 361 and the new remainder 96,and apply the division lemma to get
361 = 96 x 3 + 73
We consider the new divisor 96 and the new remainder 73,and apply the division lemma to get
96 = 73 x 1 + 23
We consider the new divisor 73 and the new remainder 23,and apply the division lemma to get
73 = 23 x 3 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 1275 and 9382 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(73,23) = HCF(96,73) = HCF(361,96) = HCF(457,361) = HCF(1275,457) = HCF(9382,1275) .
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 1275, 9382?
Answer: HCF of 1275, 9382 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1275, 9382 using Euclid's Algorithm?
Answer: For arbitrary numbers 1275, 9382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.