Highest Common Factor of 616, 94465 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 616, 94465 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 94465 is 7 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 616, 94465 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 616, 94465 is 7.
HCF(616, 94465) = 7
HCF of 616, 94465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 94465 is 7.
Highest Common Factor of 616,94465 is 7
Step 1: Since 94465 > 616, we apply the division lemma to 94465 and 616, to get
94465 = 616 x 153 + 217
Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 217 and 616, to get
616 = 217 x 2 + 182
Step 3: We consider the new divisor 217 and the new remainder 182, and apply the division lemma to get
217 = 182 x 1 + 35
We consider the new divisor 182 and the new remainder 35,and apply the division lemma to get
182 = 35 x 5 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 616 and 94465 is 7
Notice that 7 = HCF(35,7) = HCF(182,35) = HCF(217,182) = HCF(616,217) = HCF(94465,616) .
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Frequently Asked Questions on HCF of 616, 94465 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 616, 94465?
Answer: HCF of 616, 94465 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 94465 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 94465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.