Highest Common Factor of 8855, 1526 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 8855, 1526 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8855, 1526 is 7 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 8855, 1526 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 8855, 1526 is 7.
HCF(8855, 1526) = 7
HCF of 8855, 1526 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8855, 1526 is 7.
Highest Common Factor of 8855,1526 is 7
Step 1: Since 8855 > 1526, we apply the division lemma to 8855 and 1526, to get
8855 = 1526 x 5 + 1225
Step 2: Since the reminder 1526 ≠ 0, we apply division lemma to 1225 and 1526, to get
1526 = 1225 x 1 + 301
Step 3: We consider the new divisor 1225 and the new remainder 301, and apply the division lemma to get
1225 = 301 x 4 + 21
We consider the new divisor 301 and the new remainder 21,and apply the division lemma to get
301 = 21 x 14 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8855 and 1526 is 7
Notice that 7 = HCF(21,7) = HCF(301,21) = HCF(1225,301) = HCF(1526,1225) = HCF(8855,1526) .
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Frequently Asked Questions on HCF of 8855, 1526 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 8855, 1526?
Answer: HCF of 8855, 1526 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8855, 1526 using Euclid's Algorithm?
Answer: For arbitrary numbers 8855, 1526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
