Highest Common Factor of 992, 619, 960, 67 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 992, 619, 960, 67 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 619, 960, 67 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 992, 619, 960, 67 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 992, 619, 960, 67 is 1.
HCF(992, 619, 960, 67) = 1
HCF of 992, 619, 960, 67 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 619, 960, 67 is 1.
Highest Common Factor of 992,619,960,67 is 1
Step 1: Since 992 > 619, we apply the division lemma to 992 and 619, to get
992 = 619 x 1 + 373
Step 2: Since the reminder 619 ≠ 0, we apply division lemma to 373 and 619, to get
619 = 373 x 1 + 246
Step 3: We consider the new divisor 373 and the new remainder 246, and apply the division lemma to get
373 = 246 x 1 + 127
We consider the new divisor 246 and the new remainder 127,and apply the division lemma to get
246 = 127 x 1 + 119
We consider the new divisor 127 and the new remainder 119,and apply the division lemma to get
127 = 119 x 1 + 8
We consider the new divisor 119 and the new remainder 8,and apply the division lemma to get
119 = 8 x 14 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 992 and 619 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(119,8) = HCF(127,119) = HCF(246,127) = HCF(373,246) = HCF(619,373) = HCF(992,619) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 960 > 1, we apply the division lemma to 960 and 1, to get
960 = 1 x 960 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 960 is 1
Notice that 1 = HCF(960,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 67 > 1, we apply the division lemma to 67 and 1, to get
67 = 1 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67 is 1
Notice that 1 = HCF(67,1) .
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Frequently Asked Questions on HCF of 992, 619, 960, 67 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 992, 619, 960, 67?
Answer: HCF of 992, 619, 960, 67 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 619, 960, 67 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 619, 960, 67 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.