Highest Common Factor of 7975, 7044 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, 7044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7975, 7044 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, 7044 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, 7044 is 1.
HCF(7975, 7044) = 1
HCF of 7975, 7044 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, 7044 is 1.
Highest Common Factor of 7975,7044 is 1
Step 1: Since 7975 > 7044, we apply the division lemma to 7975 and 7044, to get
7975 = 7044 x 1 + 931
Step 2: Since the reminder 7044 ≠ 0, we apply division lemma to 931 and 7044, to get
7044 = 931 x 7 + 527
Step 3: We consider the new divisor 931 and the new remainder 527, and apply the division lemma to get
931 = 527 x 1 + 404
We consider the new divisor 527 and the new remainder 404,and apply the division lemma to get
527 = 404 x 1 + 123
We consider the new divisor 404 and the new remainder 123,and apply the division lemma to get
404 = 123 x 3 + 35
We consider the new divisor 123 and the new remainder 35,and apply the division lemma to get
123 = 35 x 3 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7975 and 7044 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(123,35) = HCF(404,123) = HCF(527,404) = HCF(931,527) = HCF(7044,931) = HCF(7975,7044) .
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Frequently Asked Questions on HCF of 7975, 7044 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, 7044?
Answer: HCF of 7975, 7044 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7975, 7044 using Euclid's Algorithm?
Answer: For arbitrary numbers 7975, 7044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.