Highest Common Factor of 1975, 7473 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 1975, 7473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1975, 7473 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 1975, 7473 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 1975, 7473 is 1.
HCF(1975, 7473) = 1
HCF of 1975, 7473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1975, 7473 is 1.
Highest Common Factor of 1975,7473 is 1
Step 1: Since 7473 > 1975, we apply the division lemma to 7473 and 1975, to get
7473 = 1975 x 3 + 1548
Step 2: Since the reminder 1975 ≠ 0, we apply division lemma to 1548 and 1975, to get
1975 = 1548 x 1 + 427
Step 3: We consider the new divisor 1548 and the new remainder 427, and apply the division lemma to get
1548 = 427 x 3 + 267
We consider the new divisor 427 and the new remainder 267,and apply the division lemma to get
427 = 267 x 1 + 160
We consider the new divisor 267 and the new remainder 160,and apply the division lemma to get
267 = 160 x 1 + 107
We consider the new divisor 160 and the new remainder 107,and apply the division lemma to get
160 = 107 x 1 + 53
We consider the new divisor 107 and the new remainder 53,and apply the division lemma to get
107 = 53 x 2 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1975 and 7473 is 1
Notice that 1 = HCF(53,1) = HCF(107,53) = HCF(160,107) = HCF(267,160) = HCF(427,267) = HCF(1548,427) = HCF(1975,1548) = HCF(7473,1975) .
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Frequently Asked Questions on HCF of 1975, 7473 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 1975, 7473?
Answer: HCF of 1975, 7473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1975, 7473 using Euclid's Algorithm?
Answer: For arbitrary numbers 1975, 7473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.