Highest Common Factor of 496, 856 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 496, 856 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 496, 856 is 8 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 496, 856 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 496, 856 is 8.
HCF(496, 856) = 8
HCF of 496, 856 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 496, 856 is 8.
Highest Common Factor of 496,856 is 8
Step 1: Since 856 > 496, we apply the division lemma to 856 and 496, to get
856 = 496 x 1 + 360
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 360 and 496, to get
496 = 360 x 1 + 136
Step 3: We consider the new divisor 360 and the new remainder 136, and apply the division lemma to get
360 = 136 x 2 + 88
We consider the new divisor 136 and the new remainder 88,and apply the division lemma to get
136 = 88 x 1 + 48
We consider the new divisor 88 and the new remainder 48,and apply the division lemma to get
88 = 48 x 1 + 40
We consider the new divisor 48 and the new remainder 40,and apply the division lemma to get
48 = 40 x 1 + 8
We consider the new divisor 40 and the new remainder 8,and apply the division lemma to get
40 = 8 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 496 and 856 is 8
Notice that 8 = HCF(40,8) = HCF(48,40) = HCF(88,48) = HCF(136,88) = HCF(360,136) = HCF(496,360) = HCF(856,496) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 496, 856 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 496, 856?
Answer: HCF of 496, 856 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 496, 856 using Euclid's Algorithm?
Answer: For arbitrary numbers 496, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.