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, 1753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5062, 1753 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 5062, 1753 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, 1753 is 1.
HCF(5062, 1753) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5062, 1753 is 1.
Step 1: Since 5062 > 1753, we apply the division lemma to 5062 and 1753, to get
5062 = 1753 x 2 + 1556
Step 2: Since the reminder 1753 ≠ 0, we apply division lemma to 1556 and 1753, to get
1753 = 1556 x 1 + 197
Step 3: We consider the new divisor 1556 and the new remainder 197, and apply the division lemma to get
1556 = 197 x 7 + 177
We consider the new divisor 197 and the new remainder 177,and apply the division lemma to get
197 = 177 x 1 + 20
We consider the new divisor 177 and the new remainder 20,and apply the division lemma to get
177 = 20 x 8 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5062 and 1753 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(177,20) = HCF(197,177) = HCF(1556,197) = HCF(1753,1556) = HCF(5062,1753) .
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 5062, 1753?
Answer: HCF of 5062, 1753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5062, 1753 using Euclid's Algorithm?
Answer: For arbitrary numbers 5062, 1753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.