Highest Common Factor of 496, 700, 136, 440 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 496, 700, 136, 440 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 496, 700, 136, 440 is 4 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 496, 700, 136, 440 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 496, 700, 136, 440 is 4.
HCF(496, 700, 136, 440) = 4
HCF of 496, 700, 136, 440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 496, 700, 136, 440 is 4.
Highest Common Factor of 496,700,136,440 is 4
Step 1: Since 700 > 496, we apply the division lemma to 700 and 496, to get
700 = 496 x 1 + 204
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 204 and 496, to get
496 = 204 x 2 + 88
Step 3: We consider the new divisor 204 and the new remainder 88, and apply the division lemma to get
204 = 88 x 2 + 28
We consider the new divisor 88 and the new remainder 28,and apply the division lemma to get
88 = 28 x 3 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 496 and 700 is 4
Notice that 4 = HCF(28,4) = HCF(88,28) = HCF(204,88) = HCF(496,204) = HCF(700,496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 136 > 4, we apply the division lemma to 136 and 4, to get
136 = 4 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 136 is 4
Notice that 4 = HCF(136,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 440 > 4, we apply the division lemma to 440 and 4, to get
440 = 4 x 110 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 440 is 4
Notice that 4 = HCF(440,4) .
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Frequently Asked Questions on HCF of 496, 700, 136, 440 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 496, 700, 136, 440?
Answer: HCF of 496, 700, 136, 440 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 496, 700, 136, 440 using Euclid's Algorithm?
Answer: For arbitrary numbers 496, 700, 136, 440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.