Highest Common Factor of 968, 605, 871 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 968, 605, 871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 968, 605, 871 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 968, 605, 871 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 968, 605, 871 is 1.
HCF(968, 605, 871) = 1
HCF of 968, 605, 871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 968, 605, 871 is 1.
Highest Common Factor of 968,605,871 is 1
Step 1: Since 968 > 605, we apply the division lemma to 968 and 605, to get
968 = 605 x 1 + 363
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 363 and 605, to get
605 = 363 x 1 + 242
Step 3: We consider the new divisor 363 and the new remainder 242, and apply the division lemma to get
363 = 242 x 1 + 121
We consider the new divisor 242 and the new remainder 121, and apply the division lemma to get
242 = 121 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 121, the HCF of 968 and 605 is 121
Notice that 121 = HCF(242,121) = HCF(363,242) = HCF(605,363) = HCF(968,605) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 871 > 121, we apply the division lemma to 871 and 121, to get
871 = 121 x 7 + 24
Step 2: Since the reminder 121 ≠ 0, we apply division lemma to 24 and 121, to get
121 = 24 x 5 + 1
Step 3: We consider the new divisor 24 and the new remainder 1, and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 121 and 871 is 1
Notice that 1 = HCF(24,1) = HCF(121,24) = HCF(871,121) .
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Frequently Asked Questions on HCF of 968, 605, 871 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 968, 605, 871?
Answer: HCF of 968, 605, 871 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 968, 605, 871 using Euclid's Algorithm?
Answer: For arbitrary numbers 968, 605, 871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.