Highest Common Factor of 8672, 755 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 8672, 755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8672, 755 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 8672, 755 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 8672, 755 is 1.
HCF(8672, 755) = 1
HCF of 8672, 755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8672, 755 is 1.
Highest Common Factor of 8672,755 is 1
Step 1: Since 8672 > 755, we apply the division lemma to 8672 and 755, to get
8672 = 755 x 11 + 367
Step 2: Since the reminder 755 ≠ 0, we apply division lemma to 367 and 755, to get
755 = 367 x 2 + 21
Step 3: We consider the new divisor 367 and the new remainder 21, and apply the division lemma to get
367 = 21 x 17 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8672 and 755 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(367,21) = HCF(755,367) = HCF(8672,755) .
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Frequently Asked Questions on HCF of 8672, 755 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 8672, 755?
Answer: HCF of 8672, 755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8672, 755 using Euclid's Algorithm?
Answer: For arbitrary numbers 8672, 755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
