Highest Common Factor of 985, 97778 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 985, 97778 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 985, 97778 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 985, 97778 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 985, 97778 is 1.
HCF(985, 97778) = 1
HCF of 985, 97778 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 985, 97778 is 1.
Highest Common Factor of 985,97778 is 1
Step 1: Since 97778 > 985, we apply the division lemma to 97778 and 985, to get
97778 = 985 x 99 + 263
Step 2: Since the reminder 985 ≠ 0, we apply division lemma to 263 and 985, to get
985 = 263 x 3 + 196
Step 3: We consider the new divisor 263 and the new remainder 196, and apply the division lemma to get
263 = 196 x 1 + 67
We consider the new divisor 196 and the new remainder 67,and apply the division lemma to get
196 = 67 x 2 + 62
We consider the new divisor 67 and the new remainder 62,and apply the division lemma to get
67 = 62 x 1 + 5
We consider the new divisor 62 and the new remainder 5,and apply the division lemma to get
62 = 5 x 12 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 985 and 97778 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(62,5) = HCF(67,62) = HCF(196,67) = HCF(263,196) = HCF(985,263) = HCF(97778,985) .
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Frequently Asked Questions on HCF of 985, 97778 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 985, 97778?
Answer: HCF of 985, 97778 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 985, 97778 using Euclid's Algorithm?
Answer: For arbitrary numbers 985, 97778 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.