Highest Common Factor of 655, 924, 613, 756 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 655, 924, 613, 756 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 655, 924, 613, 756 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 655, 924, 613, 756 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 655, 924, 613, 756 is 1.
HCF(655, 924, 613, 756) = 1
HCF of 655, 924, 613, 756 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 655, 924, 613, 756 is 1.
Highest Common Factor of 655,924,613,756 is 1
Step 1: Since 924 > 655, we apply the division lemma to 924 and 655, to get
924 = 655 x 1 + 269
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 269 and 655, to get
655 = 269 x 2 + 117
Step 3: We consider the new divisor 269 and the new remainder 117, and apply the division lemma to get
269 = 117 x 2 + 35
We consider the new divisor 117 and the new remainder 35,and apply the division lemma to get
117 = 35 x 3 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 655 and 924 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(117,35) = HCF(269,117) = HCF(655,269) = HCF(924,655) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 613 > 1, we apply the division lemma to 613 and 1, to get
613 = 1 x 613 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 613 is 1
Notice that 1 = HCF(613,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 756 > 1, we apply the division lemma to 756 and 1, to get
756 = 1 x 756 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 756 is 1
Notice that 1 = HCF(756,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 655, 924, 613, 756 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 655, 924, 613, 756?
Answer: HCF of 655, 924, 613, 756 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 655, 924, 613, 756 using Euclid's Algorithm?
Answer: For arbitrary numbers 655, 924, 613, 756 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.