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 6044, 7502 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6044, 7502 is 2 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 6044, 7502 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 6044, 7502 is 2.
HCF(6044, 7502) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6044, 7502 is 2.
Step 1: Since 7502 > 6044, we apply the division lemma to 7502 and 6044, to get
7502 = 6044 x 1 + 1458
Step 2: Since the reminder 6044 ≠ 0, we apply division lemma to 1458 and 6044, to get
6044 = 1458 x 4 + 212
Step 3: We consider the new divisor 1458 and the new remainder 212, and apply the division lemma to get
1458 = 212 x 6 + 186
We consider the new divisor 212 and the new remainder 186,and apply the division lemma to get
212 = 186 x 1 + 26
We consider the new divisor 186 and the new remainder 26,and apply the division lemma to get
186 = 26 x 7 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6044 and 7502 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(186,26) = HCF(212,186) = HCF(1458,212) = HCF(6044,1458) = HCF(7502,6044) .
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 6044, 7502?
Answer: HCF of 6044, 7502 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6044, 7502 using Euclid's Algorithm?
Answer: For arbitrary numbers 6044, 7502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.