Highest Common Factor of 5276, 1866 using Euclid's algorithm
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 5276, 1866 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5276, 1866 is 2 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 5276, 1866 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 5276, 1866 is 2.
HCF(5276, 1866) = 2
HCF of 5276, 1866 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5276, 1866 is 2.
Highest Common Factor of 5276,1866 is 2
Step 1: Since 5276 > 1866, we apply the division lemma to 5276 and 1866, to get
5276 = 1866 x 2 + 1544
Step 2: Since the reminder 1866 ≠ 0, we apply division lemma to 1544 and 1866, to get
1866 = 1544 x 1 + 322
Step 3: We consider the new divisor 1544 and the new remainder 322, and apply the division lemma to get
1544 = 322 x 4 + 256
We consider the new divisor 322 and the new remainder 256,and apply the division lemma to get
322 = 256 x 1 + 66
We consider the new divisor 256 and the new remainder 66,and apply the division lemma to get
256 = 66 x 3 + 58
We consider the new divisor 66 and the new remainder 58,and apply the division lemma to get
66 = 58 x 1 + 8
We consider the new divisor 58 and the new remainder 8,and apply the division lemma to get
58 = 8 x 7 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5276 and 1866 is 2
Notice that 2 = HCF(8,2) = HCF(58,8) = HCF(66,58) = HCF(256,66) = HCF(322,256) = HCF(1544,322) = HCF(1866,1544) = HCF(5276,1866) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5276, 1866 using Euclid's Algorithm
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 5276, 1866?
Answer: HCF of 5276, 1866 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5276, 1866 using Euclid's Algorithm?
Answer: For arbitrary numbers 5276, 1866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.