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 9154, 7001 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9154, 7001 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 9154, 7001 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 9154, 7001 is 1.
HCF(9154, 7001) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9154, 7001 is 1.
Step 1: Since 9154 > 7001, we apply the division lemma to 9154 and 7001, to get
9154 = 7001 x 1 + 2153
Step 2: Since the reminder 7001 ≠ 0, we apply division lemma to 2153 and 7001, to get
7001 = 2153 x 3 + 542
Step 3: We consider the new divisor 2153 and the new remainder 542, and apply the division lemma to get
2153 = 542 x 3 + 527
We consider the new divisor 542 and the new remainder 527,and apply the division lemma to get
542 = 527 x 1 + 15
We consider the new divisor 527 and the new remainder 15,and apply the division lemma to get
527 = 15 x 35 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 9154 and 7001 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(527,15) = HCF(542,527) = HCF(2153,542) = HCF(7001,2153) = HCF(9154,7001) .
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 9154, 7001?
Answer: HCF of 9154, 7001 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9154, 7001 using Euclid's Algorithm?
Answer: For arbitrary numbers 9154, 7001 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.