Highest Common Factor of 625, 454 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 625, 454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 625, 454 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 625, 454 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 625, 454 is 1.
HCF(625, 454) = 1
HCF of 625, 454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 625, 454 is 1.
Highest Common Factor of 625,454 is 1
Step 1: Since 625 > 454, we apply the division lemma to 625 and 454, to get
625 = 454 x 1 + 171
Step 2: Since the reminder 454 ≠ 0, we apply division lemma to 171 and 454, to get
454 = 171 x 2 + 112
Step 3: We consider the new divisor 171 and the new remainder 112, and apply the division lemma to get
171 = 112 x 1 + 59
We consider the new divisor 112 and the new remainder 59,and apply the division lemma to get
112 = 59 x 1 + 53
We consider the new divisor 59 and the new remainder 53,and apply the division lemma to get
59 = 53 x 1 + 6
We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get
53 = 6 x 8 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 625 and 454 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(59,53) = HCF(112,59) = HCF(171,112) = HCF(454,171) = HCF(625,454) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 625, 454 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 625, 454?
Answer: HCF of 625, 454 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 625, 454 using Euclid's Algorithm?
Answer: For arbitrary numbers 625, 454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
