Highest Common Factor of 494, 624, 715 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, 624, 715 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 494, 624, 715 is 13 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, 624, 715 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, 624, 715 is 13.
HCF(494, 624, 715) = 13
HCF of 494, 624, 715 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, 624, 715 is 13.
Highest Common Factor of 494,624,715 is 13
Step 1: Since 624 > 494, we apply the division lemma to 624 and 494, to get
624 = 494 x 1 + 130
Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 130 and 494, to get
494 = 130 x 3 + 104
Step 3: We consider the new divisor 130 and the new remainder 104, and apply the division lemma to get
130 = 104 x 1 + 26
We consider the new divisor 104 and the new remainder 26, and apply the division lemma to get
104 = 26 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 494 and 624 is 26
Notice that 26 = HCF(104,26) = HCF(130,104) = HCF(494,130) = HCF(624,494) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 715 > 26, we apply the division lemma to 715 and 26, to get
715 = 26 x 27 + 13
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 13 and 26, to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 26 and 715 is 13
Notice that 13 = HCF(26,13) = HCF(715,26) .
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Frequently Asked Questions on HCF of 494, 624, 715 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, 624, 715?
Answer: HCF of 494, 624, 715 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 494, 624, 715 using Euclid's Algorithm?
Answer: For arbitrary numbers 494, 624, 715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.