Highest Common Factor of 646, 988 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 646, 988 i.e. 38 the largest integer that leaves a remainder zero for all numbers.
HCF of 646, 988 is 38 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 646, 988 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 646, 988 is 38.
HCF(646, 988) = 38
HCF of 646, 988 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 646, 988 is 38.
Highest Common Factor of 646,988 is 38
Step 1: Since 988 > 646, we apply the division lemma to 988 and 646, to get
988 = 646 x 1 + 342
Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 342 and 646, to get
646 = 342 x 1 + 304
Step 3: We consider the new divisor 342 and the new remainder 304, and apply the division lemma to get
342 = 304 x 1 + 38
We consider the new divisor 304 and the new remainder 38, and apply the division lemma to get
304 = 38 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 646 and 988 is 38
Notice that 38 = HCF(304,38) = HCF(342,304) = HCF(646,342) = HCF(988,646) .
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Frequently Asked Questions on HCF of 646, 988 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 646, 988?
Answer: HCF of 646, 988 is 38 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 646, 988 using Euclid's Algorithm?
Answer: For arbitrary numbers 646, 988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.