Highest Common Factor of 1757, 9947 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, 9947 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1757, 9947 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, 9947 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, 9947 is 7.
HCF(1757, 9947) = 7
HCF of 1757, 9947 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, 9947 is 7.
Highest Common Factor of 1757,9947 is 7
Step 1: Since 9947 > 1757, we apply the division lemma to 9947 and 1757, to get
9947 = 1757 x 5 + 1162
Step 2: Since the reminder 1757 ≠ 0, we apply division lemma to 1162 and 1757, to get
1757 = 1162 x 1 + 595
Step 3: We consider the new divisor 1162 and the new remainder 595, and apply the division lemma to get
1162 = 595 x 1 + 567
We consider the new divisor 595 and the new remainder 567,and apply the division lemma to get
595 = 567 x 1 + 28
We consider the new divisor 567 and the new remainder 28,and apply the division lemma to get
567 = 28 x 20 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1757 and 9947 is 7
Notice that 7 = HCF(28,7) = HCF(567,28) = HCF(595,567) = HCF(1162,595) = HCF(1757,1162) = HCF(9947,1757) .
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Frequently Asked Questions on HCF of 1757, 9947 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, 9947?
Answer: HCF of 1757, 9947 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1757, 9947 using Euclid's Algorithm?
Answer: For arbitrary numbers 1757, 9947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.