Highest Common Factor of 5062, 9444 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 5062, 9444 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5062, 9444 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 5062, 9444 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 5062, 9444 is 2.
HCF(5062, 9444) = 2
HCF of 5062, 9444 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5062, 9444 is 2.
Highest Common Factor of 5062,9444 is 2
Step 1: Since 9444 > 5062, we apply the division lemma to 9444 and 5062, to get
9444 = 5062 x 1 + 4382
Step 2: Since the reminder 5062 ≠ 0, we apply division lemma to 4382 and 5062, to get
5062 = 4382 x 1 + 680
Step 3: We consider the new divisor 4382 and the new remainder 680, and apply the division lemma to get
4382 = 680 x 6 + 302
We consider the new divisor 680 and the new remainder 302,and apply the division lemma to get
680 = 302 x 2 + 76
We consider the new divisor 302 and the new remainder 76,and apply the division lemma to get
302 = 76 x 3 + 74
We consider the new divisor 76 and the new remainder 74,and apply the division lemma to get
76 = 74 x 1 + 2
We consider the new divisor 74 and the new remainder 2,and apply the division lemma to get
74 = 2 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5062 and 9444 is 2
Notice that 2 = HCF(74,2) = HCF(76,74) = HCF(302,76) = HCF(680,302) = HCF(4382,680) = HCF(5062,4382) = HCF(9444,5062) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5062, 9444 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 5062, 9444?
Answer: HCF of 5062, 9444 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5062, 9444 using Euclid's Algorithm?
Answer: For arbitrary numbers 5062, 9444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.