Highest Common Factor of 9172, 552 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 9172, 552 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9172, 552 is 4 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 9172, 552 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 9172, 552 is 4.
HCF(9172, 552) = 4
HCF of 9172, 552 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9172, 552 is 4.
Highest Common Factor of 9172,552 is 4
Step 1: Since 9172 > 552, we apply the division lemma to 9172 and 552, to get
9172 = 552 x 16 + 340
Step 2: Since the reminder 552 ≠ 0, we apply division lemma to 340 and 552, to get
552 = 340 x 1 + 212
Step 3: We consider the new divisor 340 and the new remainder 212, and apply the division lemma to get
340 = 212 x 1 + 128
We consider the new divisor 212 and the new remainder 128,and apply the division lemma to get
212 = 128 x 1 + 84
We consider the new divisor 128 and the new remainder 84,and apply the division lemma to get
128 = 84 x 1 + 44
We consider the new divisor 84 and the new remainder 44,and apply the division lemma to get
84 = 44 x 1 + 40
We consider the new divisor 44 and the new remainder 40,and apply the division lemma to get
44 = 40 x 1 + 4
We consider the new divisor 40 and the new remainder 4,and apply the division lemma to get
40 = 4 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9172 and 552 is 4
Notice that 4 = HCF(40,4) = HCF(44,40) = HCF(84,44) = HCF(128,84) = HCF(212,128) = HCF(340,212) = HCF(552,340) = HCF(9172,552) .
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Frequently Asked Questions on HCF of 9172, 552 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 9172, 552?
Answer: HCF of 9172, 552 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9172, 552 using Euclid's Algorithm?
Answer: For arbitrary numbers 9172, 552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.