Highest Common Factor of 494, 684 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 494, 684 i.e. 38 the largest integer that leaves a remainder zero for all numbers.
HCF of 494, 684 is 38 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 494, 684 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 494, 684 is 38.
HCF(494, 684) = 38
HCF of 494, 684 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 494, 684 is 38.
Highest Common Factor of 494,684 is 38
Step 1: Since 684 > 494, we apply the division lemma to 684 and 494, to get
684 = 494 x 1 + 190
Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 190 and 494, to get
494 = 190 x 2 + 114
Step 3: We consider the new divisor 190 and the new remainder 114, and apply the division lemma to get
190 = 114 x 1 + 76
We consider the new divisor 114 and the new remainder 76,and apply the division lemma to get
114 = 76 x 1 + 38
We consider the new divisor 76 and the new remainder 38,and apply the division lemma to get
76 = 38 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 494 and 684 is 38
Notice that 38 = HCF(76,38) = HCF(114,76) = HCF(190,114) = HCF(494,190) = HCF(684,494) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 494, 684 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 494, 684?
Answer: HCF of 494, 684 is 38 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 494, 684 using Euclid's Algorithm?
Answer: For arbitrary numbers 494, 684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
