Highest Common Factor of 2703, 7630 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 2703, 7630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2703, 7630 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 2703, 7630 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 2703, 7630 is 1.
HCF(2703, 7630) = 1
HCF of 2703, 7630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2703, 7630 is 1.
Highest Common Factor of 2703,7630 is 1
Step 1: Since 7630 > 2703, we apply the division lemma to 7630 and 2703, to get
7630 = 2703 x 2 + 2224
Step 2: Since the reminder 2703 ≠ 0, we apply division lemma to 2224 and 2703, to get
2703 = 2224 x 1 + 479
Step 3: We consider the new divisor 2224 and the new remainder 479, and apply the division lemma to get
2224 = 479 x 4 + 308
We consider the new divisor 479 and the new remainder 308,and apply the division lemma to get
479 = 308 x 1 + 171
We consider the new divisor 308 and the new remainder 171,and apply the division lemma to get
308 = 171 x 1 + 137
We consider the new divisor 171 and the new remainder 137,and apply the division lemma to get
171 = 137 x 1 + 34
We consider the new divisor 137 and the new remainder 34,and apply the division lemma to get
137 = 34 x 4 + 1
We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get
34 = 1 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2703 and 7630 is 1
Notice that 1 = HCF(34,1) = HCF(137,34) = HCF(171,137) = HCF(308,171) = HCF(479,308) = HCF(2224,479) = HCF(2703,2224) = HCF(7630,2703) .
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Frequently Asked Questions on HCF of 2703, 7630 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 2703, 7630?
Answer: HCF of 2703, 7630 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2703, 7630 using Euclid's Algorithm?
Answer: For arbitrary numbers 2703, 7630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
