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 676, 559 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 676, 559 is 13 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 676, 559 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 676, 559 is 13.
HCF(676, 559) = 13
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 676, 559 is 13.
Step 1: Since 676 > 559, we apply the division lemma to 676 and 559, to get
676 = 559 x 1 + 117
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 117 and 559, to get
559 = 117 x 4 + 91
Step 3: We consider the new divisor 117 and the new remainder 91, and apply the division lemma to get
117 = 91 x 1 + 26
We consider the new divisor 91 and the new remainder 26,and apply the division lemma to get
91 = 26 x 3 + 13
We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 676 and 559 is 13
Notice that 13 = HCF(26,13) = HCF(91,26) = HCF(117,91) = HCF(559,117) = HCF(676,559) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 676, 559?
Answer: HCF of 676, 559 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 676, 559 using Euclid's Algorithm?
Answer: For arbitrary numbers 676, 559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.