Highest Common Factor of 673, 8988, 8081 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 673, 8988, 8081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 673, 8988, 8081 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 673, 8988, 8081 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 673, 8988, 8081 is 1.
HCF(673, 8988, 8081) = 1
HCF of 673, 8988, 8081 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 673, 8988, 8081 is 1.
Highest Common Factor of 673,8988,8081 is 1
Step 1: Since 8988 > 673, we apply the division lemma to 8988 and 673, to get
8988 = 673 x 13 + 239
Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 239 and 673, to get
673 = 239 x 2 + 195
Step 3: We consider the new divisor 239 and the new remainder 195, and apply the division lemma to get
239 = 195 x 1 + 44
We consider the new divisor 195 and the new remainder 44,and apply the division lemma to get
195 = 44 x 4 + 19
We consider the new divisor 44 and the new remainder 19,and apply the division lemma to get
44 = 19 x 2 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 673 and 8988 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(44,19) = HCF(195,44) = HCF(239,195) = HCF(673,239) = HCF(8988,673) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8081 > 1, we apply the division lemma to 8081 and 1, to get
8081 = 1 x 8081 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8081 is 1
Notice that 1 = HCF(8081,1) .
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Frequently Asked Questions on HCF of 673, 8988, 8081 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 673, 8988, 8081?
Answer: HCF of 673, 8988, 8081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 673, 8988, 8081 using Euclid's Algorithm?
Answer: For arbitrary numbers 673, 8988, 8081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.