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 5283, 2164 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5283, 2164 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 5283, 2164 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 5283, 2164 is 1.
HCF(5283, 2164) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5283, 2164 is 1.
Step 1: Since 5283 > 2164, we apply the division lemma to 5283 and 2164, to get
5283 = 2164 x 2 + 955
Step 2: Since the reminder 2164 ≠ 0, we apply division lemma to 955 and 2164, to get
2164 = 955 x 2 + 254
Step 3: We consider the new divisor 955 and the new remainder 254, and apply the division lemma to get
955 = 254 x 3 + 193
We consider the new divisor 254 and the new remainder 193,and apply the division lemma to get
254 = 193 x 1 + 61
We consider the new divisor 193 and the new remainder 61,and apply the division lemma to get
193 = 61 x 3 + 10
We consider the new divisor 61 and the new remainder 10,and apply the division lemma to get
61 = 10 x 6 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5283 and 2164 is 1
Notice that 1 = HCF(10,1) = HCF(61,10) = HCF(193,61) = HCF(254,193) = HCF(955,254) = HCF(2164,955) = HCF(5283,2164) .
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 5283, 2164?
Answer: HCF of 5283, 2164 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5283, 2164 using Euclid's Algorithm?
Answer: For arbitrary numbers 5283, 2164 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.