Highest Common Factor of 5474, 8827 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 5474, 8827 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5474, 8827 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 5474, 8827 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 5474, 8827 is 7.
HCF(5474, 8827) = 7
HCF of 5474, 8827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5474, 8827 is 7.
Highest Common Factor of 5474,8827 is 7
Step 1: Since 8827 > 5474, we apply the division lemma to 8827 and 5474, to get
8827 = 5474 x 1 + 3353
Step 2: Since the reminder 5474 ≠ 0, we apply division lemma to 3353 and 5474, to get
5474 = 3353 x 1 + 2121
Step 3: We consider the new divisor 3353 and the new remainder 2121, and apply the division lemma to get
3353 = 2121 x 1 + 1232
We consider the new divisor 2121 and the new remainder 1232,and apply the division lemma to get
2121 = 1232 x 1 + 889
We consider the new divisor 1232 and the new remainder 889,and apply the division lemma to get
1232 = 889 x 1 + 343
We consider the new divisor 889 and the new remainder 343,and apply the division lemma to get
889 = 343 x 2 + 203
We consider the new divisor 343 and the new remainder 203,and apply the division lemma to get
343 = 203 x 1 + 140
We consider the new divisor 203 and the new remainder 140,and apply the division lemma to get
203 = 140 x 1 + 63
We consider the new divisor 140 and the new remainder 63,and apply the division lemma to get
140 = 63 x 2 + 14
We consider the new divisor 63 and the new remainder 14,and apply the division lemma to get
63 = 14 x 4 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5474 and 8827 is 7
Notice that 7 = HCF(14,7) = HCF(63,14) = HCF(140,63) = HCF(203,140) = HCF(343,203) = HCF(889,343) = HCF(1232,889) = HCF(2121,1232) = HCF(3353,2121) = HCF(5474,3353) = HCF(8827,5474) .
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Frequently Asked Questions on HCF of 5474, 8827 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 5474, 8827?
Answer: HCF of 5474, 8827 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5474, 8827 using Euclid's Algorithm?
Answer: For arbitrary numbers 5474, 8827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.