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, 1744, 94274 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1597, 1744, 94274 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, 1744, 94274 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, 1744, 94274 is 1.
HCF(1597, 1744, 94274) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1597, 1744, 94274 is 1.
Step 1: Since 1744 > 1597, we apply the division lemma to 1744 and 1597, to get
1744 = 1597 x 1 + 147
Step 2: Since the reminder 1597 ≠ 0, we apply division lemma to 147 and 1597, to get
1597 = 147 x 10 + 127
Step 3: We consider the new divisor 147 and the new remainder 127, and apply the division lemma to get
147 = 127 x 1 + 20
We consider the new divisor 127 and the new remainder 20,and apply the division lemma to get
127 = 20 x 6 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 1597 and 1744 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(127,20) = HCF(147,127) = HCF(1597,147) = HCF(1744,1597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94274 > 1, we apply the division lemma to 94274 and 1, to get
94274 = 1 x 94274 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94274 is 1
Notice that 1 = HCF(94274,1) .
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, 1744, 94274?
Answer: HCF of 1597, 1744, 94274 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1597, 1744, 94274 using Euclid's Algorithm?
Answer: For arbitrary numbers 1597, 1744, 94274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.