Highest Common Factor of 5553, 8865 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 5553, 8865 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 5553, 8865 is 9 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 5553, 8865 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 5553, 8865 is 9.
HCF(5553, 8865) = 9
HCF of 5553, 8865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5553, 8865 is 9.
Highest Common Factor of 5553,8865 is 9
Step 1: Since 8865 > 5553, we apply the division lemma to 8865 and 5553, to get
8865 = 5553 x 1 + 3312
Step 2: Since the reminder 5553 ≠ 0, we apply division lemma to 3312 and 5553, to get
5553 = 3312 x 1 + 2241
Step 3: We consider the new divisor 3312 and the new remainder 2241, and apply the division lemma to get
3312 = 2241 x 1 + 1071
We consider the new divisor 2241 and the new remainder 1071,and apply the division lemma to get
2241 = 1071 x 2 + 99
We consider the new divisor 1071 and the new remainder 99,and apply the division lemma to get
1071 = 99 x 10 + 81
We consider the new divisor 99 and the new remainder 81,and apply the division lemma to get
99 = 81 x 1 + 18
We consider the new divisor 81 and the new remainder 18,and apply the division lemma to get
81 = 18 x 4 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 5553 and 8865 is 9
Notice that 9 = HCF(18,9) = HCF(81,18) = HCF(99,81) = HCF(1071,99) = HCF(2241,1071) = HCF(3312,2241) = HCF(5553,3312) = HCF(8865,5553) .
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Frequently Asked Questions on HCF of 5553, 8865 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 5553, 8865?
Answer: HCF of 5553, 8865 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5553, 8865 using Euclid's Algorithm?
Answer: For arbitrary numbers 5553, 8865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.