Highest Common Factor of 9499, 2044 using Euclid's algorithm
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 9499, 2044 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9499, 2044 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 9499, 2044 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 9499, 2044 is 7.
HCF(9499, 2044) = 7
HCF of 9499, 2044 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9499, 2044 is 7.
Highest Common Factor of 9499,2044 is 7
Step 1: Since 9499 > 2044, we apply the division lemma to 9499 and 2044, to get
9499 = 2044 x 4 + 1323
Step 2: Since the reminder 2044 ≠ 0, we apply division lemma to 1323 and 2044, to get
2044 = 1323 x 1 + 721
Step 3: We consider the new divisor 1323 and the new remainder 721, and apply the division lemma to get
1323 = 721 x 1 + 602
We consider the new divisor 721 and the new remainder 602,and apply the division lemma to get
721 = 602 x 1 + 119
We consider the new divisor 602 and the new remainder 119,and apply the division lemma to get
602 = 119 x 5 + 7
We consider the new divisor 119 and the new remainder 7,and apply the division lemma to get
119 = 7 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9499 and 2044 is 7
Notice that 7 = HCF(119,7) = HCF(602,119) = HCF(721,602) = HCF(1323,721) = HCF(2044,1323) = HCF(9499,2044) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9499, 2044 using Euclid's Algorithm
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 9499, 2044?
Answer: HCF of 9499, 2044 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9499, 2044 using Euclid's Algorithm?
Answer: For arbitrary numbers 9499, 2044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.