Highest Common Factor of 975, 698, 807 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 975, 698, 807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 975, 698, 807 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 975, 698, 807 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 975, 698, 807 is 1.
HCF(975, 698, 807) = 1
HCF of 975, 698, 807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 975, 698, 807 is 1.
Highest Common Factor of 975,698,807 is 1
Step 1: Since 975 > 698, we apply the division lemma to 975 and 698, to get
975 = 698 x 1 + 277
Step 2: Since the reminder 698 ≠ 0, we apply division lemma to 277 and 698, to get
698 = 277 x 2 + 144
Step 3: We consider the new divisor 277 and the new remainder 144, and apply the division lemma to get
277 = 144 x 1 + 133
We consider the new divisor 144 and the new remainder 133,and apply the division lemma to get
144 = 133 x 1 + 11
We consider the new divisor 133 and the new remainder 11,and apply the division lemma to get
133 = 11 x 12 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 975 and 698 is 1
Notice that 1 = HCF(11,1) = HCF(133,11) = HCF(144,133) = HCF(277,144) = HCF(698,277) = HCF(975,698) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 807 > 1, we apply the division lemma to 807 and 1, to get
807 = 1 x 807 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 807 is 1
Notice that 1 = HCF(807,1) .
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Frequently Asked Questions on HCF of 975, 698, 807 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 975, 698, 807?
Answer: HCF of 975, 698, 807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 975, 698, 807 using Euclid's Algorithm?
Answer: For arbitrary numbers 975, 698, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.