Highest Common Factor of 7735, 9847 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 7735, 9847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7735, 9847 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 7735, 9847 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 7735, 9847 is 1.
HCF(7735, 9847) = 1
HCF of 7735, 9847 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7735, 9847 is 1.
Highest Common Factor of 7735,9847 is 1
Step 1: Since 9847 > 7735, we apply the division lemma to 9847 and 7735, to get
9847 = 7735 x 1 + 2112
Step 2: Since the reminder 7735 ≠ 0, we apply division lemma to 2112 and 7735, to get
7735 = 2112 x 3 + 1399
Step 3: We consider the new divisor 2112 and the new remainder 1399, and apply the division lemma to get
2112 = 1399 x 1 + 713
We consider the new divisor 1399 and the new remainder 713,and apply the division lemma to get
1399 = 713 x 1 + 686
We consider the new divisor 713 and the new remainder 686,and apply the division lemma to get
713 = 686 x 1 + 27
We consider the new divisor 686 and the new remainder 27,and apply the division lemma to get
686 = 27 x 25 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7735 and 9847 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(686,27) = HCF(713,686) = HCF(1399,713) = HCF(2112,1399) = HCF(7735,2112) = HCF(9847,7735) .
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Frequently Asked Questions on HCF of 7735, 9847 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 7735, 9847?
Answer: HCF of 7735, 9847 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7735, 9847 using Euclid's Algorithm?
Answer: For arbitrary numbers 7735, 9847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.