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 6825, 7584 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6825, 7584 is 3 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 6825, 7584 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 6825, 7584 is 3.
HCF(6825, 7584) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6825, 7584 is 3.
Step 1: Since 7584 > 6825, we apply the division lemma to 7584 and 6825, to get
7584 = 6825 x 1 + 759
Step 2: Since the reminder 6825 ≠ 0, we apply division lemma to 759 and 6825, to get
6825 = 759 x 8 + 753
Step 3: We consider the new divisor 759 and the new remainder 753, and apply the division lemma to get
759 = 753 x 1 + 6
We consider the new divisor 753 and the new remainder 6,and apply the division lemma to get
753 = 6 x 125 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6825 and 7584 is 3
Notice that 3 = HCF(6,3) = HCF(753,6) = HCF(759,753) = HCF(6825,759) = HCF(7584,6825) .
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 6825, 7584?
Answer: HCF of 6825, 7584 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6825, 7584 using Euclid's Algorithm?
Answer: For arbitrary numbers 6825, 7584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.