Highest Common Factor of 8625, 7717 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 8625, 7717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8625, 7717 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 8625, 7717 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 8625, 7717 is 1.
HCF(8625, 7717) = 1
HCF of 8625, 7717 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8625, 7717 is 1.
Highest Common Factor of 8625,7717 is 1
Step 1: Since 8625 > 7717, we apply the division lemma to 8625 and 7717, to get
8625 = 7717 x 1 + 908
Step 2: Since the reminder 7717 ≠ 0, we apply division lemma to 908 and 7717, to get
7717 = 908 x 8 + 453
Step 3: We consider the new divisor 908 and the new remainder 453, and apply the division lemma to get
908 = 453 x 2 + 2
We consider the new divisor 453 and the new remainder 2,and apply the division lemma to get
453 = 2 x 226 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8625 and 7717 is 1
Notice that 1 = HCF(2,1) = HCF(453,2) = HCF(908,453) = HCF(7717,908) = HCF(8625,7717) .
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Frequently Asked Questions on HCF of 8625, 7717 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 8625, 7717?
Answer: HCF of 8625, 7717 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8625, 7717 using Euclid's Algorithm?
Answer: For arbitrary numbers 8625, 7717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.