Highest Common Factor of 852, 721, 952, 98 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 852, 721, 952, 98 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 852, 721, 952, 98 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 852, 721, 952, 98 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 852, 721, 952, 98 is 1.
HCF(852, 721, 952, 98) = 1
HCF of 852, 721, 952, 98 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 852, 721, 952, 98 is 1.
Highest Common Factor of 852,721,952,98 is 1
Step 1: Since 852 > 721, we apply the division lemma to 852 and 721, to get
852 = 721 x 1 + 131
Step 2: Since the reminder 721 ≠ 0, we apply division lemma to 131 and 721, to get
721 = 131 x 5 + 66
Step 3: We consider the new divisor 131 and the new remainder 66, and apply the division lemma to get
131 = 66 x 1 + 65
We consider the new divisor 66 and the new remainder 65,and apply the division lemma to get
66 = 65 x 1 + 1
We consider the new divisor 65 and the new remainder 1,and apply the division lemma to get
65 = 1 x 65 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 852 and 721 is 1
Notice that 1 = HCF(65,1) = HCF(66,65) = HCF(131,66) = HCF(721,131) = HCF(852,721) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 952 > 1, we apply the division lemma to 952 and 1, to get
952 = 1 x 952 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 952 is 1
Notice that 1 = HCF(952,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 98 > 1, we apply the division lemma to 98 and 1, to get
98 = 1 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98 is 1
Notice that 1 = HCF(98,1) .
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Frequently Asked Questions on HCF of 852, 721, 952, 98 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 852, 721, 952, 98?
Answer: HCF of 852, 721, 952, 98 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 852, 721, 952, 98 using Euclid's Algorithm?
Answer: For arbitrary numbers 852, 721, 952, 98 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.