Highest Common Factor of 7958, 2479, 37003 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 7958, 2479, 37003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7958, 2479, 37003 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 7958, 2479, 37003 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 7958, 2479, 37003 is 1.
HCF(7958, 2479, 37003) = 1
HCF of 7958, 2479, 37003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7958, 2479, 37003 is 1.
Highest Common Factor of 7958,2479,37003 is 1
Step 1: Since 7958 > 2479, we apply the division lemma to 7958 and 2479, to get
7958 = 2479 x 3 + 521
Step 2: Since the reminder 2479 ≠ 0, we apply division lemma to 521 and 2479, to get
2479 = 521 x 4 + 395
Step 3: We consider the new divisor 521 and the new remainder 395, and apply the division lemma to get
521 = 395 x 1 + 126
We consider the new divisor 395 and the new remainder 126,and apply the division lemma to get
395 = 126 x 3 + 17
We consider the new divisor 126 and the new remainder 17,and apply the division lemma to get
126 = 17 x 7 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 7958 and 2479 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(126,17) = HCF(395,126) = HCF(521,395) = HCF(2479,521) = HCF(7958,2479) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37003 > 1, we apply the division lemma to 37003 and 1, to get
37003 = 1 x 37003 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37003 is 1
Notice that 1 = HCF(37003,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7958, 2479, 37003 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 7958, 2479, 37003?
Answer: HCF of 7958, 2479, 37003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7958, 2479, 37003 using Euclid's Algorithm?
Answer: For arbitrary numbers 7958, 2479, 37003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.