Highest Common Factor of 293, 1035 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 293, 1035 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 293, 1035 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 293, 1035 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 293, 1035 is 1.
HCF(293, 1035) = 1
HCF of 293, 1035 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 293, 1035 is 1.
Highest Common Factor of 293,1035 is 1
Step 1: Since 1035 > 293, we apply the division lemma to 1035 and 293, to get
1035 = 293 x 3 + 156
Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 156 and 293, to get
293 = 156 x 1 + 137
Step 3: We consider the new divisor 156 and the new remainder 137, and apply the division lemma to get
156 = 137 x 1 + 19
We consider the new divisor 137 and the new remainder 19,and apply the division lemma to get
137 = 19 x 7 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 293 and 1035 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(137,19) = HCF(156,137) = HCF(293,156) = HCF(1035,293) .
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Frequently Asked Questions on HCF of 293, 1035 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 293, 1035?
Answer: HCF of 293, 1035 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 293, 1035 using Euclid's Algorithm?
Answer: For arbitrary numbers 293, 1035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.