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 9205, 5509 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9205, 5509 is 7 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 9205, 5509 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 9205, 5509 is 7.
HCF(9205, 5509) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9205, 5509 is 7.
Step 1: Since 9205 > 5509, we apply the division lemma to 9205 and 5509, to get
9205 = 5509 x 1 + 3696
Step 2: Since the reminder 5509 ≠ 0, we apply division lemma to 3696 and 5509, to get
5509 = 3696 x 1 + 1813
Step 3: We consider the new divisor 3696 and the new remainder 1813, and apply the division lemma to get
3696 = 1813 x 2 + 70
We consider the new divisor 1813 and the new remainder 70,and apply the division lemma to get
1813 = 70 x 25 + 63
We consider the new divisor 70 and the new remainder 63,and apply the division lemma to get
70 = 63 x 1 + 7
We consider the new divisor 63 and the new remainder 7,and apply the division lemma to get
63 = 7 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9205 and 5509 is 7
Notice that 7 = HCF(63,7) = HCF(70,63) = HCF(1813,70) = HCF(3696,1813) = HCF(5509,3696) = HCF(9205,5509) .
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 9205, 5509?
Answer: HCF of 9205, 5509 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9205, 5509 using Euclid's Algorithm?
Answer: For arbitrary numbers 9205, 5509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.