Highest Common Factor of 664, 898, 390, 98 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 664, 898, 390, 98 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 664, 898, 390, 98 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 664, 898, 390, 98 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 664, 898, 390, 98 is 2.
HCF(664, 898, 390, 98) = 2
HCF of 664, 898, 390, 98 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 664, 898, 390, 98 is 2.
Highest Common Factor of 664,898,390,98 is 2
Step 1: Since 898 > 664, we apply the division lemma to 898 and 664, to get
898 = 664 x 1 + 234
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 234 and 664, to get
664 = 234 x 2 + 196
Step 3: We consider the new divisor 234 and the new remainder 196, and apply the division lemma to get
234 = 196 x 1 + 38
We consider the new divisor 196 and the new remainder 38,and apply the division lemma to get
196 = 38 x 5 + 6
We consider the new divisor 38 and the new remainder 6,and apply the division lemma to get
38 = 6 x 6 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 664 and 898 is 2
Notice that 2 = HCF(6,2) = HCF(38,6) = HCF(196,38) = HCF(234,196) = HCF(664,234) = HCF(898,664) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 390 > 2, we apply the division lemma to 390 and 2, to get
390 = 2 x 195 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 390 is 2
Notice that 2 = HCF(390,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 98 > 2, we apply the division lemma to 98 and 2, to get
98 = 2 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 98 is 2
Notice that 2 = HCF(98,2) .
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Frequently Asked Questions on HCF of 664, 898, 390, 98 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 664, 898, 390, 98?
Answer: HCF of 664, 898, 390, 98 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 664, 898, 390, 98 using Euclid's Algorithm?
Answer: For arbitrary numbers 664, 898, 390, 98 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.