Highest Common Factor of 661, 756, 585, 575 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 661, 756, 585, 575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 661, 756, 585, 575 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 661, 756, 585, 575 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 661, 756, 585, 575 is 1.
HCF(661, 756, 585, 575) = 1
HCF of 661, 756, 585, 575 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 661, 756, 585, 575 is 1.
Highest Common Factor of 661,756,585,575 is 1
Step 1: Since 756 > 661, we apply the division lemma to 756 and 661, to get
756 = 661 x 1 + 95
Step 2: Since the reminder 661 ≠ 0, we apply division lemma to 95 and 661, to get
661 = 95 x 6 + 91
Step 3: We consider the new divisor 95 and the new remainder 91, and apply the division lemma to get
95 = 91 x 1 + 4
We consider the new divisor 91 and the new remainder 4,and apply the division lemma to get
91 = 4 x 22 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 661 and 756 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(91,4) = HCF(95,91) = HCF(661,95) = HCF(756,661) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 585 > 1, we apply the division lemma to 585 and 1, to get
585 = 1 x 585 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 585 is 1
Notice that 1 = HCF(585,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 575 > 1, we apply the division lemma to 575 and 1, to get
575 = 1 x 575 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 575 is 1
Notice that 1 = HCF(575,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 661, 756, 585, 575 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 661, 756, 585, 575?
Answer: HCF of 661, 756, 585, 575 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 661, 756, 585, 575 using Euclid's Algorithm?
Answer: For arbitrary numbers 661, 756, 585, 575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.