Highest Common Factor of 8530, 8725 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 8530, 8725 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8530, 8725 is 5 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 8530, 8725 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 8530, 8725 is 5.
HCF(8530, 8725) = 5
HCF of 8530, 8725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8530, 8725 is 5.
Highest Common Factor of 8530,8725 is 5
Step 1: Since 8725 > 8530, we apply the division lemma to 8725 and 8530, to get
8725 = 8530 x 1 + 195
Step 2: Since the reminder 8530 ≠ 0, we apply division lemma to 195 and 8530, to get
8530 = 195 x 43 + 145
Step 3: We consider the new divisor 195 and the new remainder 145, and apply the division lemma to get
195 = 145 x 1 + 50
We consider the new divisor 145 and the new remainder 50,and apply the division lemma to get
145 = 50 x 2 + 45
We consider the new divisor 50 and the new remainder 45,and apply the division lemma to get
50 = 45 x 1 + 5
We consider the new divisor 45 and the new remainder 5,and apply the division lemma to get
45 = 5 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8530 and 8725 is 5
Notice that 5 = HCF(45,5) = HCF(50,45) = HCF(145,50) = HCF(195,145) = HCF(8530,195) = HCF(8725,8530) .
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Frequently Asked Questions on HCF of 8530, 8725 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 8530, 8725?
Answer: HCF of 8530, 8725 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8530, 8725 using Euclid's Algorithm?
Answer: For arbitrary numbers 8530, 8725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.