Highest Common Factor of 626, 360, 935 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, 360, 935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 360, 935 is 1 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, 360, 935 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, 360, 935 is 1.
HCF(626, 360, 935) = 1
HCF of 626, 360, 935 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, 360, 935 is 1.
Highest Common Factor of 626,360,935 is 1
Step 1: Since 626 > 360, we apply the division lemma to 626 and 360, to get
626 = 360 x 1 + 266
Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 266 and 360, to get
360 = 266 x 1 + 94
Step 3: We consider the new divisor 266 and the new remainder 94, and apply the division lemma to get
266 = 94 x 2 + 78
We consider the new divisor 94 and the new remainder 78,and apply the division lemma to get
94 = 78 x 1 + 16
We consider the new divisor 78 and the new remainder 16,and apply the division lemma to get
78 = 16 x 4 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 626 and 360 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(78,16) = HCF(94,78) = HCF(266,94) = HCF(360,266) = HCF(626,360) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 935 > 2, we apply the division lemma to 935 and 2, to get
935 = 2 x 467 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 935 is 1
Notice that 1 = HCF(2,1) = HCF(935,2) .
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Frequently Asked Questions on HCF of 626, 360, 935 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, 360, 935?
Answer: HCF of 626, 360, 935 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 360, 935 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 360, 935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.