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 8601, 1833 i.e. 141 the largest integer that leaves a remainder zero for all numbers.
HCF of 8601, 1833 is 141 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 8601, 1833 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 8601, 1833 is 141.
HCF(8601, 1833) = 141
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8601, 1833 is 141.
Step 1: Since 8601 > 1833, we apply the division lemma to 8601 and 1833, to get
8601 = 1833 x 4 + 1269
Step 2: Since the reminder 1833 ≠ 0, we apply division lemma to 1269 and 1833, to get
1833 = 1269 x 1 + 564
Step 3: We consider the new divisor 1269 and the new remainder 564, and apply the division lemma to get
1269 = 564 x 2 + 141
We consider the new divisor 564 and the new remainder 141, and apply the division lemma to get
564 = 141 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 141, the HCF of 8601 and 1833 is 141
Notice that 141 = HCF(564,141) = HCF(1269,564) = HCF(1833,1269) = HCF(8601,1833) .
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 8601, 1833?
Answer: HCF of 8601, 1833 is 141 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8601, 1833 using Euclid's Algorithm?
Answer: For arbitrary numbers 8601, 1833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.