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 6525, 8884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6525, 8884 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 6525, 8884 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 6525, 8884 is 1.
HCF(6525, 8884) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6525, 8884 is 1.
Step 1: Since 8884 > 6525, we apply the division lemma to 8884 and 6525, to get
8884 = 6525 x 1 + 2359
Step 2: Since the reminder 6525 ≠ 0, we apply division lemma to 2359 and 6525, to get
6525 = 2359 x 2 + 1807
Step 3: We consider the new divisor 2359 and the new remainder 1807, and apply the division lemma to get
2359 = 1807 x 1 + 552
We consider the new divisor 1807 and the new remainder 552,and apply the division lemma to get
1807 = 552 x 3 + 151
We consider the new divisor 552 and the new remainder 151,and apply the division lemma to get
552 = 151 x 3 + 99
We consider the new divisor 151 and the new remainder 99,and apply the division lemma to get
151 = 99 x 1 + 52
We consider the new divisor 99 and the new remainder 52,and apply the division lemma to get
99 = 52 x 1 + 47
We consider the new divisor 52 and the new remainder 47,and apply the division lemma to get
52 = 47 x 1 + 5
We consider the new divisor 47 and the new remainder 5,and apply the division lemma to get
47 = 5 x 9 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6525 and 8884 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(47,5) = HCF(52,47) = HCF(99,52) = HCF(151,99) = HCF(552,151) = HCF(1807,552) = HCF(2359,1807) = HCF(6525,2359) = HCF(8884,6525) .
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 6525, 8884?
Answer: HCF of 6525, 8884 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6525, 8884 using Euclid's Algorithm?
Answer: For arbitrary numbers 6525, 8884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.