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 7241, 9149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7241, 9149 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 7241, 9149 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 7241, 9149 is 1.
HCF(7241, 9149) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7241, 9149 is 1.
Step 1: Since 9149 > 7241, we apply the division lemma to 9149 and 7241, to get
9149 = 7241 x 1 + 1908
Step 2: Since the reminder 7241 ≠ 0, we apply division lemma to 1908 and 7241, to get
7241 = 1908 x 3 + 1517
Step 3: We consider the new divisor 1908 and the new remainder 1517, and apply the division lemma to get
1908 = 1517 x 1 + 391
We consider the new divisor 1517 and the new remainder 391,and apply the division lemma to get
1517 = 391 x 3 + 344
We consider the new divisor 391 and the new remainder 344,and apply the division lemma to get
391 = 344 x 1 + 47
We consider the new divisor 344 and the new remainder 47,and apply the division lemma to get
344 = 47 x 7 + 15
We consider the new divisor 47 and the new remainder 15,and apply the division lemma to get
47 = 15 x 3 + 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 7241 and 9149 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(47,15) = HCF(344,47) = HCF(391,344) = HCF(1517,391) = HCF(1908,1517) = HCF(7241,1908) = HCF(9149,7241) .
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 7241, 9149?
Answer: HCF of 7241, 9149 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7241, 9149 using Euclid's Algorithm?
Answer: For arbitrary numbers 7241, 9149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.