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 1181, 2237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1181, 2237 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 1181, 2237 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 1181, 2237 is 1.
HCF(1181, 2237) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1181, 2237 is 1.
Step 1: Since 2237 > 1181, we apply the division lemma to 2237 and 1181, to get
2237 = 1181 x 1 + 1056
Step 2: Since the reminder 1181 ≠ 0, we apply division lemma to 1056 and 1181, to get
1181 = 1056 x 1 + 125
Step 3: We consider the new divisor 1056 and the new remainder 125, and apply the division lemma to get
1056 = 125 x 8 + 56
We consider the new divisor 125 and the new remainder 56,and apply the division lemma to get
125 = 56 x 2 + 13
We consider the new divisor 56 and the new remainder 13,and apply the division lemma to get
56 = 13 x 4 + 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 1181 and 2237 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(56,13) = HCF(125,56) = HCF(1056,125) = HCF(1181,1056) = HCF(2237,1181) .
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 1181, 2237?
Answer: HCF of 1181, 2237 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1181, 2237 using Euclid's Algorithm?
Answer: For arbitrary numbers 1181, 2237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.