Highest Common Factor of 1253, 4622 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 1253, 4622 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1253, 4622 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 1253, 4622 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 1253, 4622 is 1.
HCF(1253, 4622) = 1
HCF of 1253, 4622 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1253, 4622 is 1.
Highest Common Factor of 1253,4622 is 1
Step 1: Since 4622 > 1253, we apply the division lemma to 4622 and 1253, to get
4622 = 1253 x 3 + 863
Step 2: Since the reminder 1253 ≠ 0, we apply division lemma to 863 and 1253, to get
1253 = 863 x 1 + 390
Step 3: We consider the new divisor 863 and the new remainder 390, and apply the division lemma to get
863 = 390 x 2 + 83
We consider the new divisor 390 and the new remainder 83,and apply the division lemma to get
390 = 83 x 4 + 58
We consider the new divisor 83 and the new remainder 58,and apply the division lemma to get
83 = 58 x 1 + 25
We consider the new divisor 58 and the new remainder 25,and apply the division lemma to get
58 = 25 x 2 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1253 and 4622 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(58,25) = HCF(83,58) = HCF(390,83) = HCF(863,390) = HCF(1253,863) = HCF(4622,1253) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1253, 4622 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 1253, 4622?
Answer: HCF of 1253, 4622 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1253, 4622 using Euclid's Algorithm?
Answer: For arbitrary numbers 1253, 4622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.