Highest Common Factor of 856, 298 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 856, 298 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 856, 298 is 2 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 856, 298 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 856, 298 is 2.
HCF(856, 298) = 2
HCF of 856, 298 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 856, 298 is 2.
Highest Common Factor of 856,298 is 2
Step 1: Since 856 > 298, we apply the division lemma to 856 and 298, to get
856 = 298 x 2 + 260
Step 2: Since the reminder 298 ≠ 0, we apply division lemma to 260 and 298, to get
298 = 260 x 1 + 38
Step 3: We consider the new divisor 260 and the new remainder 38, and apply the division lemma to get
260 = 38 x 6 + 32
We consider the new divisor 38 and the new remainder 32,and apply the division lemma to get
38 = 32 x 1 + 6
We consider the new divisor 32 and the new remainder 6,and apply the division lemma to get
32 = 6 x 5 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 856 and 298 is 2
Notice that 2 = HCF(6,2) = HCF(32,6) = HCF(38,32) = HCF(260,38) = HCF(298,260) = HCF(856,298) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 856, 298 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 856, 298?
Answer: HCF of 856, 298 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 856, 298 using Euclid's Algorithm?
Answer: For arbitrary numbers 856, 298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
