Highest Common Factor of 7975, 2703 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 7975, 2703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7975, 2703 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 7975, 2703 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 7975, 2703 is 1.
HCF(7975, 2703) = 1
HCF of 7975, 2703 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7975, 2703 is 1.
Highest Common Factor of 7975,2703 is 1
Step 1: Since 7975 > 2703, we apply the division lemma to 7975 and 2703, to get
7975 = 2703 x 2 + 2569
Step 2: Since the reminder 2703 ≠ 0, we apply division lemma to 2569 and 2703, to get
2703 = 2569 x 1 + 134
Step 3: We consider the new divisor 2569 and the new remainder 134, and apply the division lemma to get
2569 = 134 x 19 + 23
We consider the new divisor 134 and the new remainder 23,and apply the division lemma to get
134 = 23 x 5 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 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 7975 and 2703 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(134,23) = HCF(2569,134) = HCF(2703,2569) = HCF(7975,2703) .
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Frequently Asked Questions on HCF of 7975, 2703 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 7975, 2703?
Answer: HCF of 7975, 2703 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7975, 2703 using Euclid's Algorithm?
Answer: For arbitrary numbers 7975, 2703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
