Highest Common Factor of 9208, 5573 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 9208, 5573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9208, 5573 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 9208, 5573 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 9208, 5573 is 1.
HCF(9208, 5573) = 1
HCF of 9208, 5573 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9208, 5573 is 1.
Highest Common Factor of 9208,5573 is 1
Step 1: Since 9208 > 5573, we apply the division lemma to 9208 and 5573, to get
9208 = 5573 x 1 + 3635
Step 2: Since the reminder 5573 ≠ 0, we apply division lemma to 3635 and 5573, to get
5573 = 3635 x 1 + 1938
Step 3: We consider the new divisor 3635 and the new remainder 1938, and apply the division lemma to get
3635 = 1938 x 1 + 1697
We consider the new divisor 1938 and the new remainder 1697,and apply the division lemma to get
1938 = 1697 x 1 + 241
We consider the new divisor 1697 and the new remainder 241,and apply the division lemma to get
1697 = 241 x 7 + 10
We consider the new divisor 241 and the new remainder 10,and apply the division lemma to get
241 = 10 x 24 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9208 and 5573 is 1
Notice that 1 = HCF(10,1) = HCF(241,10) = HCF(1697,241) = HCF(1938,1697) = HCF(3635,1938) = HCF(5573,3635) = HCF(9208,5573) .
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Frequently Asked Questions on HCF of 9208, 5573 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 9208, 5573?
Answer: HCF of 9208, 5573 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9208, 5573 using Euclid's Algorithm?
Answer: For arbitrary numbers 9208, 5573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.