Highest Common Factor of 5308, 1607 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 5308, 1607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5308, 1607 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 5308, 1607 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 5308, 1607 is 1.
HCF(5308, 1607) = 1
HCF of 5308, 1607 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5308, 1607 is 1.
Highest Common Factor of 5308,1607 is 1
Step 1: Since 5308 > 1607, we apply the division lemma to 5308 and 1607, to get
5308 = 1607 x 3 + 487
Step 2: Since the reminder 1607 ≠ 0, we apply division lemma to 487 and 1607, to get
1607 = 487 x 3 + 146
Step 3: We consider the new divisor 487 and the new remainder 146, and apply the division lemma to get
487 = 146 x 3 + 49
We consider the new divisor 146 and the new remainder 49,and apply the division lemma to get
146 = 49 x 2 + 48
We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get
49 = 48 x 1 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5308 and 1607 is 1
Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(146,49) = HCF(487,146) = HCF(1607,487) = HCF(5308,1607) .
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Frequently Asked Questions on HCF of 5308, 1607 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 5308, 1607?
Answer: HCF of 5308, 1607 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5308, 1607 using Euclid's Algorithm?
Answer: For arbitrary numbers 5308, 1607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.