Highest Common Factor of 5567, 1915 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 5567, 1915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5567, 1915 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 5567, 1915 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 5567, 1915 is 1.
HCF(5567, 1915) = 1
HCF of 5567, 1915 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5567, 1915 is 1.
Highest Common Factor of 5567,1915 is 1
Step 1: Since 5567 > 1915, we apply the division lemma to 5567 and 1915, to get
5567 = 1915 x 2 + 1737
Step 2: Since the reminder 1915 ≠ 0, we apply division lemma to 1737 and 1915, to get
1915 = 1737 x 1 + 178
Step 3: We consider the new divisor 1737 and the new remainder 178, and apply the division lemma to get
1737 = 178 x 9 + 135
We consider the new divisor 178 and the new remainder 135,and apply the division lemma to get
178 = 135 x 1 + 43
We consider the new divisor 135 and the new remainder 43,and apply the division lemma to get
135 = 43 x 3 + 6
We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get
43 = 6 x 7 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5567 and 1915 is 1
Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(135,43) = HCF(178,135) = HCF(1737,178) = HCF(1915,1737) = HCF(5567,1915) .
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Frequently Asked Questions on HCF of 5567, 1915 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 5567, 1915?
Answer: HCF of 5567, 1915 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5567, 1915 using Euclid's Algorithm?
Answer: For arbitrary numbers 5567, 1915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.