Highest Common Factor of 490, 802, 316 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 490, 802, 316 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 802, 316 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 490, 802, 316 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 490, 802, 316 is 2.
HCF(490, 802, 316) = 2
HCF of 490, 802, 316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 490, 802, 316 is 2.
Highest Common Factor of 490,802,316 is 2
Step 1: Since 802 > 490, we apply the division lemma to 802 and 490, to get
802 = 490 x 1 + 312
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 312 and 490, to get
490 = 312 x 1 + 178
Step 3: We consider the new divisor 312 and the new remainder 178, and apply the division lemma to get
312 = 178 x 1 + 134
We consider the new divisor 178 and the new remainder 134,and apply the division lemma to get
178 = 134 x 1 + 44
We consider the new divisor 134 and the new remainder 44,and apply the division lemma to get
134 = 44 x 3 + 2
We consider the new divisor 44 and the new remainder 2,and apply the division lemma to get
44 = 2 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 802 is 2
Notice that 2 = HCF(44,2) = HCF(134,44) = HCF(178,134) = HCF(312,178) = HCF(490,312) = HCF(802,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 316 > 2, we apply the division lemma to 316 and 2, to get
316 = 2 x 158 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 316 is 2
Notice that 2 = HCF(316,2) .
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Frequently Asked Questions on HCF of 490, 802, 316 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 490, 802, 316?
Answer: HCF of 490, 802, 316 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 802, 316 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 802, 316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.