Highest Common Factor of 7567, 1345 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 7567, 1345 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7567, 1345 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 7567, 1345 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 7567, 1345 is 1.
HCF(7567, 1345) = 1
HCF of 7567, 1345 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7567, 1345 is 1.
Highest Common Factor of 7567,1345 is 1
Step 1: Since 7567 > 1345, we apply the division lemma to 7567 and 1345, to get
7567 = 1345 x 5 + 842
Step 2: Since the reminder 1345 ≠ 0, we apply division lemma to 842 and 1345, to get
1345 = 842 x 1 + 503
Step 3: We consider the new divisor 842 and the new remainder 503, and apply the division lemma to get
842 = 503 x 1 + 339
We consider the new divisor 503 and the new remainder 339,and apply the division lemma to get
503 = 339 x 1 + 164
We consider the new divisor 339 and the new remainder 164,and apply the division lemma to get
339 = 164 x 2 + 11
We consider the new divisor 164 and the new remainder 11,and apply the division lemma to get
164 = 11 x 14 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7567 and 1345 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(164,11) = HCF(339,164) = HCF(503,339) = HCF(842,503) = HCF(1345,842) = HCF(7567,1345) .
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Frequently Asked Questions on HCF of 7567, 1345 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 7567, 1345?
Answer: HCF of 7567, 1345 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7567, 1345 using Euclid's Algorithm?
Answer: For arbitrary numbers 7567, 1345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.