Highest Common Factor of 616, 49 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, 49 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 49 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, 49 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, 49 is 7.
HCF(616, 49) = 7
HCF of 616, 49 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, 49 is 7.
Highest Common Factor of 616,49 is 7
Step 1: Since 616 > 49, we apply the division lemma to 616 and 49, to get
616 = 49 x 12 + 28
Step 2: Since the reminder 49 ≠ 0, we apply division lemma to 28 and 49, to get
49 = 28 x 1 + 21
Step 3: We consider the new divisor 28 and the new remainder 21, and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7, and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 616 and 49 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(49,28) = HCF(616,49) .
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Frequently Asked Questions on HCF of 616, 49 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, 49?
Answer: HCF of 616, 49 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 49 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 49 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.