Highest Common Factor of 1757, 9191 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 1757, 9191 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1757, 9191 is 7 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 1757, 9191 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 1757, 9191 is 7.
HCF(1757, 9191) = 7
HCF of 1757, 9191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1757, 9191 is 7.
Highest Common Factor of 1757,9191 is 7
Step 1: Since 9191 > 1757, we apply the division lemma to 9191 and 1757, to get
9191 = 1757 x 5 + 406
Step 2: Since the reminder 1757 ≠ 0, we apply division lemma to 406 and 1757, to get
1757 = 406 x 4 + 133
Step 3: We consider the new divisor 406 and the new remainder 133, and apply the division lemma to get
406 = 133 x 3 + 7
We consider the new divisor 133 and the new remainder 7, and apply the division lemma to get
133 = 7 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1757 and 9191 is 7
Notice that 7 = HCF(133,7) = HCF(406,133) = HCF(1757,406) = HCF(9191,1757) .
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Frequently Asked Questions on HCF of 1757, 9191 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 1757, 9191?
Answer: HCF of 1757, 9191 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1757, 9191 using Euclid's Algorithm?
Answer: For arbitrary numbers 1757, 9191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
