Highest Common Factor of 626, 358, 780, 594 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 626, 358, 780, 594 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 358, 780, 594 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 626, 358, 780, 594 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 626, 358, 780, 594 is 2.
HCF(626, 358, 780, 594) = 2
HCF of 626, 358, 780, 594 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 626, 358, 780, 594 is 2.
Highest Common Factor of 626,358,780,594 is 2
Step 1: Since 626 > 358, we apply the division lemma to 626 and 358, to get
626 = 358 x 1 + 268
Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 268 and 358, to get
358 = 268 x 1 + 90
Step 3: We consider the new divisor 268 and the new remainder 90, and apply the division lemma to get
268 = 90 x 2 + 88
We consider the new divisor 90 and the new remainder 88,and apply the division lemma to get
90 = 88 x 1 + 2
We consider the new divisor 88 and the new remainder 2,and apply the division lemma to get
88 = 2 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 626 and 358 is 2
Notice that 2 = HCF(88,2) = HCF(90,88) = HCF(268,90) = HCF(358,268) = HCF(626,358) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 780 > 2, we apply the division lemma to 780 and 2, to get
780 = 2 x 390 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 780 is 2
Notice that 2 = HCF(780,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 594 > 2, we apply the division lemma to 594 and 2, to get
594 = 2 x 297 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 594 is 2
Notice that 2 = HCF(594,2) .
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Frequently Asked Questions on HCF of 626, 358, 780, 594 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 626, 358, 780, 594?
Answer: HCF of 626, 358, 780, 594 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 358, 780, 594 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 358, 780, 594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.