Highest Common Factor of 847, 9859 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 847, 9859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 847, 9859 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 847, 9859 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 847, 9859 is 1.
HCF(847, 9859) = 1
HCF of 847, 9859 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 847, 9859 is 1.
Highest Common Factor of 847,9859 is 1
Step 1: Since 9859 > 847, we apply the division lemma to 9859 and 847, to get
9859 = 847 x 11 + 542
Step 2: Since the reminder 847 ≠ 0, we apply division lemma to 542 and 847, to get
847 = 542 x 1 + 305
Step 3: We consider the new divisor 542 and the new remainder 305, and apply the division lemma to get
542 = 305 x 1 + 237
We consider the new divisor 305 and the new remainder 237,and apply the division lemma to get
305 = 237 x 1 + 68
We consider the new divisor 237 and the new remainder 68,and apply the division lemma to get
237 = 68 x 3 + 33
We consider the new divisor 68 and the new remainder 33,and apply the division lemma to get
68 = 33 x 2 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 847 and 9859 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(68,33) = HCF(237,68) = HCF(305,237) = HCF(542,305) = HCF(847,542) = HCF(9859,847) .
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Frequently Asked Questions on HCF of 847, 9859 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 847, 9859?
Answer: HCF of 847, 9859 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 847, 9859 using Euclid's Algorithm?
Answer: For arbitrary numbers 847, 9859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.