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 9734, 1475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9734, 1475 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 9734, 1475 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 9734, 1475 is 1.
HCF(9734, 1475) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9734, 1475 is 1.
Step 1: Since 9734 > 1475, we apply the division lemma to 9734 and 1475, to get
9734 = 1475 x 6 + 884
Step 2: Since the reminder 1475 ≠ 0, we apply division lemma to 884 and 1475, to get
1475 = 884 x 1 + 591
Step 3: We consider the new divisor 884 and the new remainder 591, and apply the division lemma to get
884 = 591 x 1 + 293
We consider the new divisor 591 and the new remainder 293,and apply the division lemma to get
591 = 293 x 2 + 5
We consider the new divisor 293 and the new remainder 5,and apply the division lemma to get
293 = 5 x 58 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9734 and 1475 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(293,5) = HCF(591,293) = HCF(884,591) = HCF(1475,884) = HCF(9734,1475) .
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 9734, 1475?
Answer: HCF of 9734, 1475 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9734, 1475 using Euclid's Algorithm?
Answer: For arbitrary numbers 9734, 1475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.