Highest Common Factor of 528, 859, 342, 653 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 528, 859, 342, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 528, 859, 342, 653 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 528, 859, 342, 653 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 528, 859, 342, 653 is 1.
HCF(528, 859, 342, 653) = 1
HCF of 528, 859, 342, 653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 528, 859, 342, 653 is 1.
Highest Common Factor of 528,859,342,653 is 1
Step 1: Since 859 > 528, we apply the division lemma to 859 and 528, to get
859 = 528 x 1 + 331
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 331 and 528, to get
528 = 331 x 1 + 197
Step 3: We consider the new divisor 331 and the new remainder 197, and apply the division lemma to get
331 = 197 x 1 + 134
We consider the new divisor 197 and the new remainder 134,and apply the division lemma to get
197 = 134 x 1 + 63
We consider the new divisor 134 and the new remainder 63,and apply the division lemma to get
134 = 63 x 2 + 8
We consider the new divisor 63 and the new remainder 8,and apply the division lemma to get
63 = 8 x 7 + 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 528 and 859 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(63,8) = HCF(134,63) = HCF(197,134) = HCF(331,197) = HCF(528,331) = HCF(859,528) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 342 > 1, we apply the division lemma to 342 and 1, to get
342 = 1 x 342 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 342 is 1
Notice that 1 = HCF(342,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 653 > 1, we apply the division lemma to 653 and 1, to get
653 = 1 x 653 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 653 is 1
Notice that 1 = HCF(653,1) .
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Frequently Asked Questions on HCF of 528, 859, 342, 653 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 528, 859, 342, 653?
Answer: HCF of 528, 859, 342, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 528, 859, 342, 653 using Euclid's Algorithm?
Answer: For arbitrary numbers 528, 859, 342, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.