Highest Common Factor of 307, 98770 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 307, 98770 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 307, 98770 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 307, 98770 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 307, 98770 is 1.
HCF(307, 98770) = 1
HCF of 307, 98770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 307, 98770 is 1.
Highest Common Factor of 307,98770 is 1
Step 1: Since 98770 > 307, we apply the division lemma to 98770 and 307, to get
98770 = 307 x 321 + 223
Step 2: Since the reminder 307 ≠ 0, we apply division lemma to 223 and 307, to get
307 = 223 x 1 + 84
Step 3: We consider the new divisor 223 and the new remainder 84, and apply the division lemma to get
223 = 84 x 2 + 55
We consider the new divisor 84 and the new remainder 55,and apply the division lemma to get
84 = 55 x 1 + 29
We consider the new divisor 55 and the new remainder 29,and apply the division lemma to get
55 = 29 x 1 + 26
We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get
29 = 26 x 1 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 307 and 98770 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(55,29) = HCF(84,55) = HCF(223,84) = HCF(307,223) = HCF(98770,307) .
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Frequently Asked Questions on HCF of 307, 98770 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 307, 98770?
Answer: HCF of 307, 98770 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 307, 98770 using Euclid's Algorithm?
Answer: For arbitrary numbers 307, 98770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.