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 9298, 5927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9298, 5927 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 9298, 5927 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 9298, 5927 is 1.
HCF(9298, 5927) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9298, 5927 is 1.
Step 1: Since 9298 > 5927, we apply the division lemma to 9298 and 5927, to get
9298 = 5927 x 1 + 3371
Step 2: Since the reminder 5927 ≠ 0, we apply division lemma to 3371 and 5927, to get
5927 = 3371 x 1 + 2556
Step 3: We consider the new divisor 3371 and the new remainder 2556, and apply the division lemma to get
3371 = 2556 x 1 + 815
We consider the new divisor 2556 and the new remainder 815,and apply the division lemma to get
2556 = 815 x 3 + 111
We consider the new divisor 815 and the new remainder 111,and apply the division lemma to get
815 = 111 x 7 + 38
We consider the new divisor 111 and the new remainder 38,and apply the division lemma to get
111 = 38 x 2 + 35
We consider the new divisor 38 and the new remainder 35,and apply the division lemma to get
38 = 35 x 1 + 3
We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get
35 = 3 x 11 + 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 9298 and 5927 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(111,38) = HCF(815,111) = HCF(2556,815) = HCF(3371,2556) = HCF(5927,3371) = HCF(9298,5927) .
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 9298, 5927?
Answer: HCF of 9298, 5927 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9298, 5927 using Euclid's Algorithm?
Answer: For arbitrary numbers 9298, 5927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.