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 9352, 7172 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9352, 7172 is 4 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 9352, 7172 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 9352, 7172 is 4.
HCF(9352, 7172) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9352, 7172 is 4.
Step 1: Since 9352 > 7172, we apply the division lemma to 9352 and 7172, to get
9352 = 7172 x 1 + 2180
Step 2: Since the reminder 7172 ≠ 0, we apply division lemma to 2180 and 7172, to get
7172 = 2180 x 3 + 632
Step 3: We consider the new divisor 2180 and the new remainder 632, and apply the division lemma to get
2180 = 632 x 3 + 284
We consider the new divisor 632 and the new remainder 284,and apply the division lemma to get
632 = 284 x 2 + 64
We consider the new divisor 284 and the new remainder 64,and apply the division lemma to get
284 = 64 x 4 + 28
We consider the new divisor 64 and the new remainder 28,and apply the division lemma to get
64 = 28 x 2 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9352 and 7172 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(64,28) = HCF(284,64) = HCF(632,284) = HCF(2180,632) = HCF(7172,2180) = HCF(9352,7172) .
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 9352, 7172?
Answer: HCF of 9352, 7172 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9352, 7172 using Euclid's Algorithm?
Answer: For arbitrary numbers 9352, 7172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.