Highest Common Factor of 490, 672, 350 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, 672, 350 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 672, 350 is 14 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, 672, 350 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, 672, 350 is 14.
HCF(490, 672, 350) = 14
HCF of 490, 672, 350 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, 672, 350 is 14.
Highest Common Factor of 490,672,350 is 14
Step 1: Since 672 > 490, we apply the division lemma to 672 and 490, to get
672 = 490 x 1 + 182
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 182 and 490, to get
490 = 182 x 2 + 126
Step 3: We consider the new divisor 182 and the new remainder 126, and apply the division lemma to get
182 = 126 x 1 + 56
We consider the new divisor 126 and the new remainder 56,and apply the division lemma to get
126 = 56 x 2 + 14
We consider the new divisor 56 and the new remainder 14,and apply the division lemma to get
56 = 14 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 490 and 672 is 14
Notice that 14 = HCF(56,14) = HCF(126,56) = HCF(182,126) = HCF(490,182) = HCF(672,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 350 > 14, we apply the division lemma to 350 and 14, to get
350 = 14 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 14 and 350 is 14
Notice that 14 = HCF(350,14) .
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Frequently Asked Questions on HCF of 490, 672, 350 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, 672, 350?
Answer: HCF of 490, 672, 350 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 672, 350 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 672, 350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.