Highest Common Factor of 1310, 7003 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 1310, 7003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1310, 7003 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 1310, 7003 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 1310, 7003 is 1.
HCF(1310, 7003) = 1
HCF of 1310, 7003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1310, 7003 is 1.
Highest Common Factor of 1310,7003 is 1
Step 1: Since 7003 > 1310, we apply the division lemma to 7003 and 1310, to get
7003 = 1310 x 5 + 453
Step 2: Since the reminder 1310 ≠ 0, we apply division lemma to 453 and 1310, to get
1310 = 453 x 2 + 404
Step 3: We consider the new divisor 453 and the new remainder 404, and apply the division lemma to get
453 = 404 x 1 + 49
We consider the new divisor 404 and the new remainder 49,and apply the division lemma to get
404 = 49 x 8 + 12
We consider the new divisor 49 and the new remainder 12,and apply the division lemma to get
49 = 12 x 4 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1310 and 7003 is 1
Notice that 1 = HCF(12,1) = HCF(49,12) = HCF(404,49) = HCF(453,404) = HCF(1310,453) = HCF(7003,1310) .
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Frequently Asked Questions on HCF of 1310, 7003 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 1310, 7003?
Answer: HCF of 1310, 7003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1310, 7003 using Euclid's Algorithm?
Answer: For arbitrary numbers 1310, 7003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.