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 9398, 3553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9398, 3553 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 9398, 3553 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 9398, 3553 is 1.
HCF(9398, 3553) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9398, 3553 is 1.
Step 1: Since 9398 > 3553, we apply the division lemma to 9398 and 3553, to get
9398 = 3553 x 2 + 2292
Step 2: Since the reminder 3553 ≠ 0, we apply division lemma to 2292 and 3553, to get
3553 = 2292 x 1 + 1261
Step 3: We consider the new divisor 2292 and the new remainder 1261, and apply the division lemma to get
2292 = 1261 x 1 + 1031
We consider the new divisor 1261 and the new remainder 1031,and apply the division lemma to get
1261 = 1031 x 1 + 230
We consider the new divisor 1031 and the new remainder 230,and apply the division lemma to get
1031 = 230 x 4 + 111
We consider the new divisor 230 and the new remainder 111,and apply the division lemma to get
230 = 111 x 2 + 8
We consider the new divisor 111 and the new remainder 8,and apply the division lemma to get
111 = 8 x 13 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9398 and 3553 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(111,8) = HCF(230,111) = HCF(1031,230) = HCF(1261,1031) = HCF(2292,1261) = HCF(3553,2292) = HCF(9398,3553) .
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 9398, 3553?
Answer: HCF of 9398, 3553 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9398, 3553 using Euclid's Algorithm?
Answer: For arbitrary numbers 9398, 3553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.