Highest Common Factor of 960, 496, 802, 95 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 960, 496, 802, 95 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 960, 496, 802, 95 is 1 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 960, 496, 802, 95 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 960, 496, 802, 95 is 1.
HCF(960, 496, 802, 95) = 1
HCF of 960, 496, 802, 95 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 960, 496, 802, 95 is 1.
Highest Common Factor of 960,496,802,95 is 1
Step 1: Since 960 > 496, we apply the division lemma to 960 and 496, to get
960 = 496 x 1 + 464
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 464 and 496, to get
496 = 464 x 1 + 32
Step 3: We consider the new divisor 464 and the new remainder 32, and apply the division lemma to get
464 = 32 x 14 + 16
We consider the new divisor 32 and the new remainder 16, and apply the division lemma to get
32 = 16 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 960 and 496 is 16
Notice that 16 = HCF(32,16) = HCF(464,32) = HCF(496,464) = HCF(960,496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 802 > 16, we apply the division lemma to 802 and 16, to get
802 = 16 x 50 + 2
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 2 and 16, to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 16 and 802 is 2
Notice that 2 = HCF(16,2) = HCF(802,16) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95 > 2, we apply the division lemma to 95 and 2, to get
95 = 2 x 47 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 95 is 1
Notice that 1 = HCF(2,1) = HCF(95,2) .
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Frequently Asked Questions on HCF of 960, 496, 802, 95 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 960, 496, 802, 95?
Answer: HCF of 960, 496, 802, 95 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 960, 496, 802, 95 using Euclid's Algorithm?
Answer: For arbitrary numbers 960, 496, 802, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.