Highest Common Factor of 640, 868, 390 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 640, 868, 390 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 640, 868, 390 is 2 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 640, 868, 390 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 640, 868, 390 is 2.
HCF(640, 868, 390) = 2
HCF of 640, 868, 390 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 640, 868, 390 is 2.
Highest Common Factor of 640,868,390 is 2
Step 1: Since 868 > 640, we apply the division lemma to 868 and 640, to get
868 = 640 x 1 + 228
Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 228 and 640, to get
640 = 228 x 2 + 184
Step 3: We consider the new divisor 228 and the new remainder 184, and apply the division lemma to get
228 = 184 x 1 + 44
We consider the new divisor 184 and the new remainder 44,and apply the division lemma to get
184 = 44 x 4 + 8
We consider the new divisor 44 and the new remainder 8,and apply the division lemma to get
44 = 8 x 5 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 640 and 868 is 4
Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(184,44) = HCF(228,184) = HCF(640,228) = HCF(868,640) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 390 > 4, we apply the division lemma to 390 and 4, to get
390 = 4 x 97 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 390 is 2
Notice that 2 = HCF(4,2) = HCF(390,4) .
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Frequently Asked Questions on HCF of 640, 868, 390 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 640, 868, 390?
Answer: HCF of 640, 868, 390 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 640, 868, 390 using Euclid's Algorithm?
Answer: For arbitrary numbers 640, 868, 390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.