Highest Common Factor of 808, 496, 689, 635 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 808, 496, 689, 635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 808, 496, 689, 635 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 808, 496, 689, 635 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 808, 496, 689, 635 is 1.
HCF(808, 496, 689, 635) = 1
HCF of 808, 496, 689, 635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 808, 496, 689, 635 is 1.
Highest Common Factor of 808,496,689,635 is 1
Step 1: Since 808 > 496, we apply the division lemma to 808 and 496, to get
808 = 496 x 1 + 312
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 312 and 496, to get
496 = 312 x 1 + 184
Step 3: We consider the new divisor 312 and the new remainder 184, and apply the division lemma to get
312 = 184 x 1 + 128
We consider the new divisor 184 and the new remainder 128,and apply the division lemma to get
184 = 128 x 1 + 56
We consider the new divisor 128 and the new remainder 56,and apply the division lemma to get
128 = 56 x 2 + 16
We consider the new divisor 56 and the new remainder 16,and apply the division lemma to get
56 = 16 x 3 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 808 and 496 is 8
Notice that 8 = HCF(16,8) = HCF(56,16) = HCF(128,56) = HCF(184,128) = HCF(312,184) = HCF(496,312) = HCF(808,496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 689 > 8, we apply the division lemma to 689 and 8, to get
689 = 8 x 86 + 1
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 1 and 8, to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 689 is 1
Notice that 1 = HCF(8,1) = HCF(689,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 635 > 1, we apply the division lemma to 635 and 1, to get
635 = 1 x 635 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 635 is 1
Notice that 1 = HCF(635,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 808, 496, 689, 635 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 808, 496, 689, 635?
Answer: HCF of 808, 496, 689, 635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 808, 496, 689, 635 using Euclid's Algorithm?
Answer: For arbitrary numbers 808, 496, 689, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.