Highest Common Factor of 967, 9103, 6528 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 967, 9103, 6528 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 967, 9103, 6528 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 967, 9103, 6528 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 967, 9103, 6528 is 1.
HCF(967, 9103, 6528) = 1
HCF of 967, 9103, 6528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 967, 9103, 6528 is 1.
Highest Common Factor of 967,9103,6528 is 1
Step 1: Since 9103 > 967, we apply the division lemma to 9103 and 967, to get
9103 = 967 x 9 + 400
Step 2: Since the reminder 967 ≠ 0, we apply division lemma to 400 and 967, to get
967 = 400 x 2 + 167
Step 3: We consider the new divisor 400 and the new remainder 167, and apply the division lemma to get
400 = 167 x 2 + 66
We consider the new divisor 167 and the new remainder 66,and apply the division lemma to get
167 = 66 x 2 + 35
We consider the new divisor 66 and the new remainder 35,and apply the division lemma to get
66 = 35 x 1 + 31
We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get
35 = 31 x 1 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 967 and 9103 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(66,35) = HCF(167,66) = HCF(400,167) = HCF(967,400) = HCF(9103,967) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6528 > 1, we apply the division lemma to 6528 and 1, to get
6528 = 1 x 6528 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6528 is 1
Notice that 1 = HCF(6528,1) .
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Frequently Asked Questions on HCF of 967, 9103, 6528 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 967, 9103, 6528?
Answer: HCF of 967, 9103, 6528 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 967, 9103, 6528 using Euclid's Algorithm?
Answer: For arbitrary numbers 967, 9103, 6528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
