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 9141, 1237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9141, 1237 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 9141, 1237 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 9141, 1237 is 1.
HCF(9141, 1237) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9141, 1237 is 1.
Step 1: Since 9141 > 1237, we apply the division lemma to 9141 and 1237, to get
9141 = 1237 x 7 + 482
Step 2: Since the reminder 1237 ≠ 0, we apply division lemma to 482 and 1237, to get
1237 = 482 x 2 + 273
Step 3: We consider the new divisor 482 and the new remainder 273, and apply the division lemma to get
482 = 273 x 1 + 209
We consider the new divisor 273 and the new remainder 209,and apply the division lemma to get
273 = 209 x 1 + 64
We consider the new divisor 209 and the new remainder 64,and apply the division lemma to get
209 = 64 x 3 + 17
We consider the new divisor 64 and the new remainder 17,and apply the division lemma to get
64 = 17 x 3 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9141 and 1237 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(64,17) = HCF(209,64) = HCF(273,209) = HCF(482,273) = HCF(1237,482) = HCF(9141,1237) .
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 9141, 1237?
Answer: HCF of 9141, 1237 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9141, 1237 using Euclid's Algorithm?
Answer: For arbitrary numbers 9141, 1237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.