Highest Common Factor of 935, 7293, 5559 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 935, 7293, 5559 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 935, 7293, 5559 is 17 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 935, 7293, 5559 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 935, 7293, 5559 is 17.
HCF(935, 7293, 5559) = 17
HCF of 935, 7293, 5559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 935, 7293, 5559 is 17.
Highest Common Factor of 935,7293,5559 is 17
Step 1: Since 7293 > 935, we apply the division lemma to 7293 and 935, to get
7293 = 935 x 7 + 748
Step 2: Since the reminder 935 ≠ 0, we apply division lemma to 748 and 935, to get
935 = 748 x 1 + 187
Step 3: We consider the new divisor 748 and the new remainder 187, and apply the division lemma to get
748 = 187 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 187, the HCF of 935 and 7293 is 187
Notice that 187 = HCF(748,187) = HCF(935,748) = HCF(7293,935) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5559 > 187, we apply the division lemma to 5559 and 187, to get
5559 = 187 x 29 + 136
Step 2: Since the reminder 187 ≠ 0, we apply division lemma to 136 and 187, to get
187 = 136 x 1 + 51
Step 3: We consider the new divisor 136 and the new remainder 51, and apply the division lemma to get
136 = 51 x 2 + 34
We consider the new divisor 51 and the new remainder 34,and apply the division lemma to get
51 = 34 x 1 + 17
We consider the new divisor 34 and the new remainder 17,and apply the division lemma to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 187 and 5559 is 17
Notice that 17 = HCF(34,17) = HCF(51,34) = HCF(136,51) = HCF(187,136) = HCF(5559,187) .
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Frequently Asked Questions on HCF of 935, 7293, 5559 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 935, 7293, 5559?
Answer: HCF of 935, 7293, 5559 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 935, 7293, 5559 using Euclid's Algorithm?
Answer: For arbitrary numbers 935, 7293, 5559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.