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, 63759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 655, 63759 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, 63759 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, 63759 is 1.
HCF(655, 63759) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 655, 63759 is 1.
Step 1: Since 63759 > 655, we apply the division lemma to 63759 and 655, to get
63759 = 655 x 97 + 224
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 224 and 655, to get
655 = 224 x 2 + 207
Step 3: We consider the new divisor 224 and the new remainder 207, and apply the division lemma to get
224 = 207 x 1 + 17
We consider the new divisor 207 and the new remainder 17,and apply the division lemma to get
207 = 17 x 12 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 655 and 63759 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(207,17) = HCF(224,207) = HCF(655,224) = HCF(63759,655) .
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 655, 63759?
Answer: HCF of 655, 63759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 655, 63759 using Euclid's Algorithm?
Answer: For arbitrary numbers 655, 63759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.