Highest Common Factor of 665, 897, 121, 604 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 665, 897, 121, 604 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 665, 897, 121, 604 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 665, 897, 121, 604 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 665, 897, 121, 604 is 1.
HCF(665, 897, 121, 604) = 1
HCF of 665, 897, 121, 604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 665, 897, 121, 604 is 1.
Highest Common Factor of 665,897,121,604 is 1
Step 1: Since 897 > 665, we apply the division lemma to 897 and 665, to get
897 = 665 x 1 + 232
Step 2: Since the reminder 665 ≠ 0, we apply division lemma to 232 and 665, to get
665 = 232 x 2 + 201
Step 3: We consider the new divisor 232 and the new remainder 201, and apply the division lemma to get
232 = 201 x 1 + 31
We consider the new divisor 201 and the new remainder 31,and apply the division lemma to get
201 = 31 x 6 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 665 and 897 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(201,31) = HCF(232,201) = HCF(665,232) = HCF(897,665) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 121 > 1, we apply the division lemma to 121 and 1, to get
121 = 1 x 121 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 121 is 1
Notice that 1 = HCF(121,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 604 > 1, we apply the division lemma to 604 and 1, to get
604 = 1 x 604 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 604 is 1
Notice that 1 = HCF(604,1) .
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Frequently Asked Questions on HCF of 665, 897, 121, 604 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 665, 897, 121, 604?
Answer: HCF of 665, 897, 121, 604 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 665, 897, 121, 604 using Euclid's Algorithm?
Answer: For arbitrary numbers 665, 897, 121, 604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
