Highest Common Factor of 7672, 8671 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 7672, 8671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7672, 8671 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 7672, 8671 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 7672, 8671 is 1.
HCF(7672, 8671) = 1
HCF of 7672, 8671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7672, 8671 is 1.
Highest Common Factor of 7672,8671 is 1
Step 1: Since 8671 > 7672, we apply the division lemma to 8671 and 7672, to get
8671 = 7672 x 1 + 999
Step 2: Since the reminder 7672 ≠ 0, we apply division lemma to 999 and 7672, to get
7672 = 999 x 7 + 679
Step 3: We consider the new divisor 999 and the new remainder 679, and apply the division lemma to get
999 = 679 x 1 + 320
We consider the new divisor 679 and the new remainder 320,and apply the division lemma to get
679 = 320 x 2 + 39
We consider the new divisor 320 and the new remainder 39,and apply the division lemma to get
320 = 39 x 8 + 8
We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get
39 = 8 x 4 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7672 and 8671 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(320,39) = HCF(679,320) = HCF(999,679) = HCF(7672,999) = HCF(8671,7672) .
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Frequently Asked Questions on HCF of 7672, 8671 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 7672, 8671?
Answer: HCF of 7672, 8671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7672, 8671 using Euclid's Algorithm?
Answer: For arbitrary numbers 7672, 8671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.