Highest Common Factor of 3528, 927 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 3528, 927 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 3528, 927 is 9 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 3528, 927 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 3528, 927 is 9.
HCF(3528, 927) = 9
HCF of 3528, 927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3528, 927 is 9.
Highest Common Factor of 3528,927 is 9
Step 1: Since 3528 > 927, we apply the division lemma to 3528 and 927, to get
3528 = 927 x 3 + 747
Step 2: Since the reminder 927 ≠ 0, we apply division lemma to 747 and 927, to get
927 = 747 x 1 + 180
Step 3: We consider the new divisor 747 and the new remainder 180, and apply the division lemma to get
747 = 180 x 4 + 27
We consider the new divisor 180 and the new remainder 27,and apply the division lemma to get
180 = 27 x 6 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3528 and 927 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(180,27) = HCF(747,180) = HCF(927,747) = HCF(3528,927) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3528, 927 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 3528, 927?
Answer: HCF of 3528, 927 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3528, 927 using Euclid's Algorithm?
Answer: For arbitrary numbers 3528, 927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.