Highest Common Factor of 475, 876, 47, 329 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, 876, 47, 329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 475, 876, 47, 329 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, 876, 47, 329 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, 876, 47, 329 is 1.
HCF(475, 876, 47, 329) = 1
HCF of 475, 876, 47, 329 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, 876, 47, 329 is 1.
Highest Common Factor of 475,876,47,329 is 1
Step 1: Since 876 > 475, we apply the division lemma to 876 and 475, to get
876 = 475 x 1 + 401
Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 401 and 475, to get
475 = 401 x 1 + 74
Step 3: We consider the new divisor 401 and the new remainder 74, and apply the division lemma to get
401 = 74 x 5 + 31
We consider the new divisor 74 and the new remainder 31,and apply the division lemma to get
74 = 31 x 2 + 12
We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get
31 = 12 x 2 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 475 and 876 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(74,31) = HCF(401,74) = HCF(475,401) = HCF(876,475) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47 > 1, we apply the division lemma to 47 and 1, to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47 is 1
Notice that 1 = HCF(47,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 329 > 1, we apply the division lemma to 329 and 1, to get
329 = 1 x 329 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 329 is 1
Notice that 1 = HCF(329,1) .
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, 876, 47, 329 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, 876, 47, 329?
Answer: HCF of 475, 876, 47, 329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 475, 876, 47, 329 using Euclid's Algorithm?
Answer: For arbitrary numbers 475, 876, 47, 329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
