Highest Common Factor of 769, 451, 25 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 769, 451, 25 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 769, 451, 25 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 769, 451, 25 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 769, 451, 25 is 1.
HCF(769, 451, 25) = 1
HCF of 769, 451, 25 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 769, 451, 25 is 1.
Highest Common Factor of 769,451,25 is 1
Step 1: Since 769 > 451, we apply the division lemma to 769 and 451, to get
769 = 451 x 1 + 318
Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 318 and 451, to get
451 = 318 x 1 + 133
Step 3: We consider the new divisor 318 and the new remainder 133, and apply the division lemma to get
318 = 133 x 2 + 52
We consider the new divisor 133 and the new remainder 52,and apply the division lemma to get
133 = 52 x 2 + 29
We consider the new divisor 52 and the new remainder 29,and apply the division lemma to get
52 = 29 x 1 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 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 769 and 451 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(52,29) = HCF(133,52) = HCF(318,133) = HCF(451,318) = HCF(769,451) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25 > 1, we apply the division lemma to 25 and 1, to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25 is 1
Notice that 1 = HCF(25,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 769, 451, 25 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 769, 451, 25?
Answer: HCF of 769, 451, 25 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 769, 451, 25 using Euclid's Algorithm?
Answer: For arbitrary numbers 769, 451, 25 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.