Highest Common Factor of 475, 769, 364 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 475, 769, 364 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 475, 769, 364 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 475, 769, 364 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 475, 769, 364 is 1.
HCF(475, 769, 364) = 1
HCF of 475, 769, 364 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 475, 769, 364 is 1.
Highest Common Factor of 475,769,364 is 1
Step 1: Since 769 > 475, we apply the division lemma to 769 and 475, to get
769 = 475 x 1 + 294
Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 294 and 475, to get
475 = 294 x 1 + 181
Step 3: We consider the new divisor 294 and the new remainder 181, and apply the division lemma to get
294 = 181 x 1 + 113
We consider the new divisor 181 and the new remainder 113,and apply the division lemma to get
181 = 113 x 1 + 68
We consider the new divisor 113 and the new remainder 68,and apply the division lemma to get
113 = 68 x 1 + 45
We consider the new divisor 68 and the new remainder 45,and apply the division lemma to get
68 = 45 x 1 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 475 and 769 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(68,45) = HCF(113,68) = HCF(181,113) = HCF(294,181) = HCF(475,294) = HCF(769,475) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 364 > 1, we apply the division lemma to 364 and 1, to get
364 = 1 x 364 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 364 is 1
Notice that 1 = HCF(364,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 475, 769, 364 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 475, 769, 364?
Answer: HCF of 475, 769, 364 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 475, 769, 364 using Euclid's Algorithm?
Answer: For arbitrary numbers 475, 769, 364 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
