Highest Common Factor of 854, 97600 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 854, 97600 i.e. 122 the largest integer that leaves a remainder zero for all numbers.
HCF of 854, 97600 is 122 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 854, 97600 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 854, 97600 is 122.
HCF(854, 97600) = 122
HCF of 854, 97600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 854, 97600 is 122.
Highest Common Factor of 854,97600 is 122
Step 1: Since 97600 > 854, we apply the division lemma to 97600 and 854, to get
97600 = 854 x 114 + 244
Step 2: Since the reminder 854 ≠ 0, we apply division lemma to 244 and 854, to get
854 = 244 x 3 + 122
Step 3: We consider the new divisor 244 and the new remainder 122, and apply the division lemma to get
244 = 122 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 122, the HCF of 854 and 97600 is 122
Notice that 122 = HCF(244,122) = HCF(854,244) = HCF(97600,854) .
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Frequently Asked Questions on HCF of 854, 97600 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 854, 97600?
Answer: HCF of 854, 97600 is 122 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 854, 97600 using Euclid's Algorithm?
Answer: For arbitrary numbers 854, 97600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.