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 1597, 4800 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1597, 4800 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 1597, 4800 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 1597, 4800 is 1.
HCF(1597, 4800) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1597, 4800 is 1.
Step 1: Since 4800 > 1597, we apply the division lemma to 4800 and 1597, to get
4800 = 1597 x 3 + 9
Step 2: Since the reminder 1597 ≠ 0, we apply division lemma to 9 and 1597, to get
1597 = 9 x 177 + 4
Step 3: We consider the new divisor 9 and the new remainder 4, and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1597 and 4800 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(1597,9) = HCF(4800,1597) .
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 1597, 4800?
Answer: HCF of 1597, 4800 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1597, 4800 using Euclid's Algorithm?
Answer: For arbitrary numbers 1597, 4800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.