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 9235, 8157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9235, 8157 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 9235, 8157 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 9235, 8157 is 1.
HCF(9235, 8157) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9235, 8157 is 1.
Step 1: Since 9235 > 8157, we apply the division lemma to 9235 and 8157, to get
9235 = 8157 x 1 + 1078
Step 2: Since the reminder 8157 ≠ 0, we apply division lemma to 1078 and 8157, to get
8157 = 1078 x 7 + 611
Step 3: We consider the new divisor 1078 and the new remainder 611, and apply the division lemma to get
1078 = 611 x 1 + 467
We consider the new divisor 611 and the new remainder 467,and apply the division lemma to get
611 = 467 x 1 + 144
We consider the new divisor 467 and the new remainder 144,and apply the division lemma to get
467 = 144 x 3 + 35
We consider the new divisor 144 and the new remainder 35,and apply the division lemma to get
144 = 35 x 4 + 4
We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get
35 = 4 x 8 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9235 and 8157 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(144,35) = HCF(467,144) = HCF(611,467) = HCF(1078,611) = HCF(8157,1078) = HCF(9235,8157) .
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 9235, 8157?
Answer: HCF of 9235, 8157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9235, 8157 using Euclid's Algorithm?
Answer: For arbitrary numbers 9235, 8157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.