Highest Common Factor of 664, 919, 485 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 664, 919, 485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 664, 919, 485 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 664, 919, 485 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 664, 919, 485 is 1.
HCF(664, 919, 485) = 1
HCF of 664, 919, 485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 664, 919, 485 is 1.
Highest Common Factor of 664,919,485 is 1
Step 1: Since 919 > 664, we apply the division lemma to 919 and 664, to get
919 = 664 x 1 + 255
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 255 and 664, to get
664 = 255 x 2 + 154
Step 3: We consider the new divisor 255 and the new remainder 154, and apply the division lemma to get
255 = 154 x 1 + 101
We consider the new divisor 154 and the new remainder 101,and apply the division lemma to get
154 = 101 x 1 + 53
We consider the new divisor 101 and the new remainder 53,and apply the division lemma to get
101 = 53 x 1 + 48
We consider the new divisor 53 and the new remainder 48,and apply the division lemma to get
53 = 48 x 1 + 5
We consider the new divisor 48 and the new remainder 5,and apply the division lemma to get
48 = 5 x 9 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 664 and 919 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(48,5) = HCF(53,48) = HCF(101,53) = HCF(154,101) = HCF(255,154) = HCF(664,255) = HCF(919,664) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 485 > 1, we apply the division lemma to 485 and 1, to get
485 = 1 x 485 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 485 is 1
Notice that 1 = HCF(485,1) .
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Frequently Asked Questions on HCF of 664, 919, 485 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 664, 919, 485?
Answer: HCF of 664, 919, 485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 664, 919, 485 using Euclid's Algorithm?
Answer: For arbitrary numbers 664, 919, 485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
