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 9374, 9574 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9374, 9574 is 2 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 9374, 9574 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 9374, 9574 is 2.
HCF(9374, 9574) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9374, 9574 is 2.
Step 1: Since 9574 > 9374, we apply the division lemma to 9574 and 9374, to get
9574 = 9374 x 1 + 200
Step 2: Since the reminder 9374 ≠ 0, we apply division lemma to 200 and 9374, to get
9374 = 200 x 46 + 174
Step 3: We consider the new divisor 200 and the new remainder 174, and apply the division lemma to get
200 = 174 x 1 + 26
We consider the new divisor 174 and the new remainder 26,and apply the division lemma to get
174 = 26 x 6 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9374 and 9574 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(174,26) = HCF(200,174) = HCF(9374,200) = HCF(9574,9374) .
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 9374, 9574?
Answer: HCF of 9374, 9574 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9374, 9574 using Euclid's Algorithm?
Answer: For arbitrary numbers 9374, 9574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.