Highest Common Factor of 8759, 7527, 63532 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 8759, 7527, 63532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8759, 7527, 63532 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 8759, 7527, 63532 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 8759, 7527, 63532 is 1.
HCF(8759, 7527, 63532) = 1
HCF of 8759, 7527, 63532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8759, 7527, 63532 is 1.
Highest Common Factor of 8759,7527,63532 is 1
Step 1: Since 8759 > 7527, we apply the division lemma to 8759 and 7527, to get
8759 = 7527 x 1 + 1232
Step 2: Since the reminder 7527 ≠ 0, we apply division lemma to 1232 and 7527, to get
7527 = 1232 x 6 + 135
Step 3: We consider the new divisor 1232 and the new remainder 135, and apply the division lemma to get
1232 = 135 x 9 + 17
We consider the new divisor 135 and the new remainder 17,and apply the division lemma to get
135 = 17 x 7 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8759 and 7527 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(135,17) = HCF(1232,135) = HCF(7527,1232) = HCF(8759,7527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63532 > 1, we apply the division lemma to 63532 and 1, to get
63532 = 1 x 63532 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63532 is 1
Notice that 1 = HCF(63532,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8759, 7527, 63532 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 8759, 7527, 63532?
Answer: HCF of 8759, 7527, 63532 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8759, 7527, 63532 using Euclid's Algorithm?
Answer: For arbitrary numbers 8759, 7527, 63532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
