Highest Common Factor of 8827, 7509 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 8827, 7509 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8827, 7509 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 8827, 7509 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 8827, 7509 is 1.
HCF(8827, 7509) = 1
HCF of 8827, 7509 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8827, 7509 is 1.
Highest Common Factor of 8827,7509 is 1
Step 1: Since 8827 > 7509, we apply the division lemma to 8827 and 7509, to get
8827 = 7509 x 1 + 1318
Step 2: Since the reminder 7509 ≠ 0, we apply division lemma to 1318 and 7509, to get
7509 = 1318 x 5 + 919
Step 3: We consider the new divisor 1318 and the new remainder 919, and apply the division lemma to get
1318 = 919 x 1 + 399
We consider the new divisor 919 and the new remainder 399,and apply the division lemma to get
919 = 399 x 2 + 121
We consider the new divisor 399 and the new remainder 121,and apply the division lemma to get
399 = 121 x 3 + 36
We consider the new divisor 121 and the new remainder 36,and apply the division lemma to get
121 = 36 x 3 + 13
We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get
36 = 13 x 2 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8827 and 7509 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(121,36) = HCF(399,121) = HCF(919,399) = HCF(1318,919) = HCF(7509,1318) = HCF(8827,7509) .
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Frequently Asked Questions on HCF of 8827, 7509 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 8827, 7509?
Answer: HCF of 8827, 7509 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8827, 7509 using Euclid's Algorithm?
Answer: For arbitrary numbers 8827, 7509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.