Highest Common Factor of 868, 620, 760, 233 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 868, 620, 760, 233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 620, 760, 233 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 868, 620, 760, 233 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 868, 620, 760, 233 is 1.
HCF(868, 620, 760, 233) = 1
HCF of 868, 620, 760, 233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 620, 760, 233 is 1.
Highest Common Factor of 868,620,760,233 is 1
Step 1: Since 868 > 620, we apply the division lemma to 868 and 620, to get
868 = 620 x 1 + 248
Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 248 and 620, to get
620 = 248 x 2 + 124
Step 3: We consider the new divisor 248 and the new remainder 124, and apply the division lemma to get
248 = 124 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 124, the HCF of 868 and 620 is 124
Notice that 124 = HCF(248,124) = HCF(620,248) = HCF(868,620) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 760 > 124, we apply the division lemma to 760 and 124, to get
760 = 124 x 6 + 16
Step 2: Since the reminder 124 ≠ 0, we apply division lemma to 16 and 124, to get
124 = 16 x 7 + 12
Step 3: We consider the new divisor 16 and the new remainder 12, and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4, and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 124 and 760 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(124,16) = HCF(760,124) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 233 > 4, we apply the division lemma to 233 and 4, to get
233 = 4 x 58 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 233 is 1
Notice that 1 = HCF(4,1) = HCF(233,4) .
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Frequently Asked Questions on HCF of 868, 620, 760, 233 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 868, 620, 760, 233?
Answer: HCF of 868, 620, 760, 233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 620, 760, 233 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 620, 760, 233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.