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 5928, 1601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5928, 1601 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 5928, 1601 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 5928, 1601 is 1.
HCF(5928, 1601) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5928, 1601 is 1.
Step 1: Since 5928 > 1601, we apply the division lemma to 5928 and 1601, to get
5928 = 1601 x 3 + 1125
Step 2: Since the reminder 1601 ≠ 0, we apply division lemma to 1125 and 1601, to get
1601 = 1125 x 1 + 476
Step 3: We consider the new divisor 1125 and the new remainder 476, and apply the division lemma to get
1125 = 476 x 2 + 173
We consider the new divisor 476 and the new remainder 173,and apply the division lemma to get
476 = 173 x 2 + 130
We consider the new divisor 173 and the new remainder 130,and apply the division lemma to get
173 = 130 x 1 + 43
We consider the new divisor 130 and the new remainder 43,and apply the division lemma to get
130 = 43 x 3 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5928 and 1601 is 1
Notice that 1 = HCF(43,1) = HCF(130,43) = HCF(173,130) = HCF(476,173) = HCF(1125,476) = HCF(1601,1125) = HCF(5928,1601) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5928, 1601?
Answer: HCF of 5928, 1601 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5928, 1601 using Euclid's Algorithm?
Answer: For arbitrary numbers 5928, 1601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.