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 5287, 7575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5287, 7575 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 5287, 7575 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 5287, 7575 is 1.
HCF(5287, 7575) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5287, 7575 is 1.
Step 1: Since 7575 > 5287, we apply the division lemma to 7575 and 5287, to get
7575 = 5287 x 1 + 2288
Step 2: Since the reminder 5287 ≠ 0, we apply division lemma to 2288 and 5287, to get
5287 = 2288 x 2 + 711
Step 3: We consider the new divisor 2288 and the new remainder 711, and apply the division lemma to get
2288 = 711 x 3 + 155
We consider the new divisor 711 and the new remainder 155,and apply the division lemma to get
711 = 155 x 4 + 91
We consider the new divisor 155 and the new remainder 91,and apply the division lemma to get
155 = 91 x 1 + 64
We consider the new divisor 91 and the new remainder 64,and apply the division lemma to get
91 = 64 x 1 + 27
We consider the new divisor 64 and the new remainder 27,and apply the division lemma to get
64 = 27 x 2 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 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 5287 and 7575 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(64,27) = HCF(91,64) = HCF(155,91) = HCF(711,155) = HCF(2288,711) = HCF(5287,2288) = HCF(7575,5287) .
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 5287, 7575?
Answer: HCF of 5287, 7575 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5287, 7575 using Euclid's Algorithm?
Answer: For arbitrary numbers 5287, 7575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.